Find the first three nonzero terms of $(x^2-1)^6$ in ascending powers of $x$. Hence find the coe

Question

Find the first three nonzero terms of $(x^2-1)^6$ in ascending powers of $x$. Hence find the coefficient of $x^4$ in $ (x+2)^2(x^2-1)^6. $

Accepted Answer

(a) $1-6x^2+15x^4$;(b) Coefficient $54$.

Binomial Theorem