The Binomial Theorem
Topic Page
The Binomial TheoremQuestions
- What is the binomial theorem?
- How do I use the binomial theorem to expand #(d-4b)^3#?
- How do I use the the binomial theorem to expand #(t + w)^4#?
- How do I use the the binomial theorem to expand #(v - u)^6#?
- How do I use the binomial theorem to find the constant term?
- How do you find the coefficient of x^5 in the expansion of (2x+3)(x+1)^8?
- How do you find the coefficient of x^6 in the expansion of #(2x+3)^10#?
- How do you use the binomial series to expand #f(x)=1/(sqrt(1+x^2))#?
- How do you use the binomial series to expand #1 / (1+x)^4#?
- How do you use the binomial series to expand #f(x)=(1+x)^(1/3 )#?
- How do you use the binomial series to expand #f(x)= sqrt(1+x^2)#?
- How do you use the binomial series to expand #(x^2) / sqrt(2+x)#?
- How do you use the binomial series to expand #(1 + x)^4#?
- How do you use the binomial series to expand #f(x) = (1+x^3)^(-1/2)#?
- How do you use the binomial series to expand #(1+x^2)^(2/3)#?
- How do you use the binomial series to expand #(1+ax)^10#?
- How do you use the binomial series to expand #(1 - 4x)^8#?
- How do you use the binomial series to expand #(1 - x)^(-1/2)#?
- How do you use the binomial series to expand #f(x)=1/(1+x^3)^(1/2)#?
- How do you use the binomial series to expand #f(x)=1/(sqrt(4+x^2))#?
- How do you use the binomial series to expand #(1-4x)^(1/2)#?
- How do you use the binomial series to expand #f(x)= 1/((1+x)^2)#?
- How do you use the binomial series to expand #1 / (1 +x^4)#?
- How do you use the binomial series to expand #(1+x)^-3#?
- How do you use the binomial series to expand # 1/((2+x)^3)#?
- How do you use the binomial series to expand #f(x)= 1/(sqrt(1+x^3))#?
- How do you use the binomial series to expand #1/sqrt(1-x^3)#?
- How do you use the binomial series to expand #(1+9x)^(1/3)#?
- How do you use the binomial series to expand #(3a+4b)^4#?
- How do you use the binomial series to expand #(1-x)^(1/3)#?
- How do you use the binomial series to expand # (1+x^6)^(1/2)#?
- How do you use the binomial series to expand #(1+x^2)^ (-1/3)#?
- How do you use the binomial series to expand # 1/(2+x)^3#?
- How do you use the binomial series to expand #1/(1-x^2)^(1/2)#?
- How do you use the binomial series to expand #(1+2x)^-3 #?
- How do you use the binomial series to expand #(x+1+x^-1)^4#?
- How do you use the binomial series to expand #(1-2x)^(1/3)#?
- How do you use the binomial series to expand #(2x+1)^4#?
- How do you use the binomial series to expand #(1-x^3)^(1/2)#?
- How do you use the binomial series to expand #1/sqrt(4+x)#?
- How do you use the binomial series to expand # f(x) = (1 + x^2)^(1/3)#?
- How do you use the binomial series to expand # 1/(2+x)^5#?
- How do you use the binomial series to expand # (1+x)^.5#?
- How do you use the binomial series to expand # (x - 2)^9#?
- How do you use the binomial series to expand #(2x^3 – 3)^10#?
- How do you use the binomial series to expand #(2x^2 – (3/x) ) ^8#?
- How do you use the binomial series to expand #(1+x)^(1/2)#?
- How do you use the binomial series to expand #4*sqrt(1+x)#?
- How do you use the binomial series to expand #g(x) = (2-x)^4#?
- How do you use the binomial series to expand #(2x – y)^9#?
- How do you use the binomial series to expand #(x - y)^6#?
- How do you use the binomial series to expand #(x - 10z)^7#?
- How do you use the binomial series to expand # (2a-b)^7#?
- How do you use the binomial series to expand #(1+x)^n#?
- How do you use the binomial series to expand #g (x) = 8 / (1 - x) ^3#?
- How do you use the binomial series to expand #sqrt(1+x)#?
- How do you use the binomial series to expand #(1 + 4x)^-3#?
- How do you use the binomial series to expand #1 / (1 + 2x)^2#?
- How do you use the binomial series to expand #(5 + x)^4#?
- How do you use the binomial series to expand #(1+2x)^(-2)#?
- How do you use the binomial series to expand # (x-3)^5#?
- How do you use the binomial series to expand #(2+1/4x)^9#?
- How do you use the binomial series to expand # (1+x^2)^5#?
- How do you use the binomial series to expand #1/(1+2x)^3#?
- How do you use the binomial series to expand #(x-1)^8#?
- How do you use the binomial series to expand #(x+2)^7#?
- How do you use the binomial series to expand #(2x-3)^10#?
- How do you use the binomial series to expand #f(x)=1/(1+x)^3#?
- How do you use the binomial series to expand #(1+x)^(1/2)#?
- How do you use the binomial series to expand #(1+x)^(3/2)#?
- How do you use the binomial series to expand #(1 + 3x) ^8#?
- How do you use the binomial series to expand #(2x - 1)^(1/3)#?
- How do you use the binomial series to expand #1/(2 + x)^2#?
- How do you use the binomial series to expand #sqrt(z^2-1)#?
- How do you use the binomial series to expand #(a + 3b^3)^5#?
- How do you use the binomial series to expand # (r^2 + s^3)^8#?
- How do you use the binomial series to expand # (x+1)^20#?
- How do you use the binomial series to expand # (x+7)^17#?
- How do you use the binomial series to expand # (2+kx)^8 #?
- How do you use the binomial series to expand # (x + 3)^9 #?
- How do you use the binomial series to expand # (x + 3)^12 #?
- How do you use the binomial series to expand # (2 + x)^11 #?
- How do you use the binomial series to expand # (x - 2x) ^15 #?
- How do you use the binomial series to expand #x^4/(1-3x)^3#?
- How do you use the binomial series to expand #f(x) = (6-x)^-3#?
- How do you use the binomial series to expand # (x - sqrt 2)^5#?
- How do you use the binomial series to expand #(1+2x)^(-3) #?
- How do you use the binomial series to expand #(2x – 5y)^3 #?
- How do you use the binomial series to expand #(1 + x)^12#?
- How do you use the binomial series to expand # (x + 3)^6#?
- How do you use the binomial series to expand #(x – 2)^5#?
- How do you use the binomial series to expand #(1+2x)^5#?
- How do you find the first 3 non-zero terms for the expansion of #(9+x^2)^ (1/2)#?
- What is the fifth term of the expansion of #(a + b)^8#?
- What is the constant term of the expansion of #((x-(2/x^2))^9#?
- How do you use the Binomial Theorem to expand #(2x+3)^3#?
- How do you use the Binomial Theorem to expand #(d+3)^7#?
- How do you use the Binomial Theorem to expand #(2x+1)^4#?
- How do you use the Binomial Theorem to find the value of #99^4#?
- How do you use the Binomial Theorem to find the value of #999^3#?
- How do you use the Binomial Theorem to expand #(d-3b)^3#?
- How do you use the Binomial Theorem to expand #(x + 1)^4#?
- How do you use the Binomial Theorem to expand #(y - 2)^4#?
- How do you use the Binomial Theorem to expand #(x + y)^5#?
- How do you use the Binomial Theorem to expand #(x + 2)^4#?
- How do you use the Binomial Theorem to expand #(d-5)^6#?
- How do you use the Binomial Theorem to expand #(x + z) ^ 5 #?
- How do you use the Binomial Theorem to expand #(1- 2t) ^ 2#?
- How do you use the Binomial Theorem to expand #(1 + x) ^ -1#?
- How do you use the Binomial Theorem to expand # (x-5)^5#?
- How do you use the Binomial Theorem to expand #(x-3)^5#?
- How do you use the Binomial Theorem to expand #(x+1+x^-1)^4#?
- How do you use the Binomial Theorem to expand #(3x - 2y^2)^5#?
- How do you use the Binomial Theorem to expand #(1/3x – 9) ^20#?
- How do you use the Binomial Theorem to expand #(1+x+x^2)^3#?
- How do you use the Binomial Theorem to expand #(x + y) ^6#?
- How do you use the Binomial Theorem to expand #(5x + 2y)^6 #?
- How do you use the Binomial Theorem to expand # (d+2e)^7#?
- How do you use the Binomial Theorem to expand #(3x^2 - (5/x))^3 #?
- How do you use the Binomial Theorem to expand #(3v+s)^5#?
- How do you use the Binomial Theorem to expand # (3x+y)^4#?
- How do you use the Binomial Theorem to expand #(1 + 3x)^(3/2) #?
- How do you use the Binomial Theorem to expand # (1/X + X)^6#?
- How do you use the Binomial Theorem to expand #(2x−1)^4#?
- How do you expand #(1+x+x^2)^3 # using the binomial theorem?
- How do you use the binomial formula to find the coefficient of #u^(4)z^(15)# in the expansion of #(3u+z)^19#?
- How do you use the binomial formula to find the coefficient of #p^(4)z^(19)# in the expansion of #(2p + z)^23#?
- How do you use the binomial formula to expand #(x+1)^3#?
- How do you use the binomial formula to expand #[x+(y+1)]^3#?
- How do you use the binomial formula to find the coefficient of #x^3# in #(3x^2 - (5/x))^3#?
- How do you use the binomial formula to find the coefficient of the #z^19 q^2# term in the expansion of #(z+2q)^21#?
- How do you use the binomial formula to find expand #(x^2y - 1)^5#?
- How do you use the binomial formula to find expand #(2x+3)^3#?
- How do you use the binomial formula to find the coefficient of the #z^2 x^10# term in the expansion of #(2x+z)^12#?
- How do you use the Binomial Theorem to expand #(x+5)^5#?
- How do you find the coefficients in the row of Pascal's triangle corresponding to n=8?
- How do you find the coefficient of #a^(n-1)*b# in the expansion of #(a+b)^n#?
- How do you evaluate the expression #8!#?
- How do you expand #(p+q)^5#?
- How do you expand #(t+2)^6#?
- How do you expand #(x-3y)^4#?
- How do you find the fourth term of #(a+b)^8#?
- How do you find the fifth term of #(2a+3b)^10#?
- How do you evaluate #9!#?
- How do you evaluate #13!#?
- How do you evaluate #(9!)/(7!)#?
- How do you evaluate #(7!)/(4!)#?
- How do you evaluate #(12!)/(8!4!)#?
- How do you evaluate #(14!)/(5!9!)#?
- How do you expand #(a-b)^3#?
- How do you expand #(m+n)^4#?
- How do you expand #(r+s)^8#?
- How do you expand #(m-a)^5#?
- How do you expand #(x+3)^5#?
- How do you expand #(a-2)^4#?
- How do you expand #(2b-x)^4#?
- How do you expand #(2a+b)^6#?
- How do you expand #(3x-2y)^5#?
- How do you expand #(3x+2y)^4#?
- How do you expand #(3+m/3)^5#?
- How do you find the sixth term of #(x-y)^9#?
- How do you find the seventh term of #(x+y)^12#?
- How do you find the fourth term of #(x+2)^7#?
- How do you find the fifth term of #(a-3)^8#?
- How do you find the fourth term of #(2x+3y)^9#?
- How do you find the fourth term of #(x+1/3)^7#?
- How do you find the sixth term of #(x-1/2)^10#?
- Question #f64c3
- How do you find the coefficient to the #x^6# term in the expansion of #(x-3)^9#?
- How do you find the binomial coefficient of 8C6?
- How do you find the binomial coefficient of 12C0?
- How do you find the binomial coefficient of 20C20?
- How do you find the binomial coefficient of 20C15?
- How do you find the binomial coefficient of #""^12C_5#?
- How do you find the binomial coefficient of #((10), (4))#?
- How do you find the binomial coefficient of #((10), (6))#?
- How do you find the binomial coefficient of #((100), (98))#?
- How do you find the binomial coefficient of #((100), (2))#?
- How do you evaluate #((8), (5))# using Pascal's triangle?
- How do you evaluate #((8), (7))# using Pascal's triangle?
- How do you evaluate 7C4 using Pascal's triangle?
- How do you evaluate #""^6C_3# using Pascal's triangle?
- How do you use the binomial theorem to expand and simplify the expression #(x+1)^6#?
- How do you use the binomial theorem to expand and simplify the expression #(a+6)^4#?
- How do you use the binomial theorem to expand and simplify the expression #(a+5)^5#?
- How do you use the binomial theorem to expand and simplify the expression #(y-4)^3#?
- How do you use the binomial theorem to expand and simplify the expression #(x+y)^5#?
- How do you use the binomial theorem to expand and simplify the expression #(c+d)^3#?
- How do you use the binomial theorem to expand and simplify the expression #(r+3s)^6#?
- How do you use the binomial theorem to expand and simplify the expression #(x+2y)^4#?
- How do you use the binomial theorem to expand and simplify the expression #(3a-b)^5#?
- How do you use the binomial theorem to expand and simplify the expression #(2x-y)^5#?
- How do you use the binomial theorem to expand and simplify the expression #(1-2x)^3#?
- How do you use the binomial theorem to expand and simplify the expression #(5-3y)^3#?
- How do you use the binomial theorem to expand and simplify the expression #(x^2+5)^4#?
- How do you use the binomial theorem to expand and simplify the expression #(x^2+y^2)^6#?
- How do you use the binomial theorem to expand and simplify the expression #(1/x+y)^5#?
- How do you use the binomial theorem to expand and simplify the expression #(x^2+y^2)^6#?
- How do you use the binomial theorem to expand and simplify the expression #(1/x+y)^5#?
- How do you use the binomial theorem to expand and simplify the expression #(1/x+2y)^6#?
- How do you use the binomial theorem to expand and simplify the expression #2(x-3)^4+5(x-3)^2#?
- How do you use the binomial theorem to expand and simplify the expression #3(x+1)^5-4(x+1)^3#?
- How do you use the binomial #(2t-s)^5# using Pascal's triangle?
- How do you use the binomial #(3-2z)^4# using Pascal's triangle?
- How do you use the binomial #(x+2y)^5# using Pascal's triangle?
- How do you use the binomial #(2v+3)^6# using Pascal's triangle?
- How do you find the 4th term in the expansion of the binomial #(x+y)^10#?
- How do you find the 4th term in the expansion of the binomial #(x-10z)^7#?
- How do you find the 8th term in the expansion of the binomial #(4x+3y)^9#?
- How do you find the 5th term in the expansion of the binomial #(5a+6b)^5#?
- How do you find the 9th term in the expansion of the binomial #(10x-3y)^12#?
- How do you find the 7th term in the expansion of the binomial #(7x+2y)^15#?
- How do you find the coefficient of #a# of the term #ax^5# in the expansion of the binomial #(x+3)^12#?
- How do you find the coefficient of #a# of the term #ax^8y^2# in the expansion of the binomial #(x-2y)^10#?
- How do you find the coefficient of #a# of the term #ax^2y^8# in the expansion of the binomial #(4x-y)^10#?
- How do you find the coefficient of #a# of the term #ax^4y^5# in the expansion of the binomial #(3x-2y)^9#?
- How do you find the coefficient of #a# of the term #ax^6y^2# in the expansion of the binomial #(2x-3y)^8#?
- How do you find the coefficient of #a# of the term #ax^8y^6# in the expansion of the binomial #(x^2+y)^10#?
- How do you find the coefficient of #a# of the term #az^4t^8# in the expansion of the binomial #(z^2-t)^10#?
- How do you use the binomial theorem to expand #(sqrtx+3)^4#?
- How do you use the binomial theorem to expand #(2sqrtt-1)^3#?
- How do you use the binomial theorem to expand #(x^(2/3)-y^(1/3))^3#?
- How do you use the binomial theorem to expand #(u^(3/5)+2)^5#?
- How do you use the binomial theorem to expand #(1+i)^4#?
- How do you use the binomial theorem to expand #(2-i)^5#?
- How do you use the binomial theorem to expand #(-1/2+sqrt3/2i)^3#?
- How do you use the binomial theorem to expand #(5-sqrt3i)^4#?
- How do you use the binomial theorem to approximate #(1.02)^8#?
- How do you use the binomial theorem to approximate #(2.005)^10#?
- How do you use the binomial theorem to approximate #(2.99)^12#?
- How do you use the binomial theorem to approximate #(1.98)^9#?
- How do you find the coefficient of #x^3# in #(2x+3)^5#?
- How do you expand this binomial using binomial theorem? #(2x+3)^10#
- What is the coefficient #a_6# in #(1+x)^21+cdots+(1+x)^30# ?
- #2(1-x)^n - (1+x)^n# equals?
- How do I use the Binomial Theorem to expand this binomial? #(x - 5y)^5#