Question #f64c3 Precalculus The Binomial Theorem The Binomial Theorem 1 Answer Cesareo R. Mar 8, 2017 2268 Explanation: Expanding (3x^3-1)^9=(x(3x^2-1/x))^9 instead, the equivalent term is the one attached to x^9. Now making y=x^3 in (3y-1)^9 will be equivalently the constant associated to the y^3 term so making 1/(3!)d^3/(dx^3)(3y-1)^9 = 1/(3!)9 cdot 8 cdot 7 (3^3)=2268 Answer link Related questions 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 )? See all questions in The Binomial Theorem Impact of this question 1482 views around the world You can reuse this answer Creative Commons License