What is the rule for cubing a binomial?
1 Answer
Oct 26, 2015
Explanation:
The coefficients
For other powers of a binomial use a different row of Pascal's triangle.
For example:
(a+b)^5 = a^5+5a^4b+10a^3b^2+10a^2b^3+5ab^4+b^5(a+b)5=a5+5a4b+10a3b2+10a2b3+5ab4+b5
How about
Let
(2x-5)^3(2x−5)3
= (a+b)^3 = a^3+3a^2b+3ab^2+b^3=(a+b)3=a3+3a2b+3ab2+b3
=(2x)^3+3(2x)^2(-5)+3(2x)(-5)^2+(-5)^3=(2x)3+3(2x)2(−5)+3(2x)(−5)2+(−5)3
=8x^3-60x^2+150x-125=8x3−60x2+150x−125