Find the first $3$ terms in the expansion of ${{\left( {{x}^{2}}-3 \right)}^{8}}$ in ascending p

Question

Find the first $3$ terms in the expansion of ${{\left( {{x}^{2}}-3 \right)}^{8}}$ in ascending powers of $x$. Hence find the coefficient of the ${{x}^{4}}$ term in the expansion of $\left( {{x}^{2}}+3 \right){{\left( {{x}^{2}}-3 \right)}^{8}}$.

Accepted Answer

(a) $ 6561 - 17496x^2 + 20412x^4 + \ldots$ (b) $ 43740$

Binomial Theorem - Binomial Expansion for Positive Integer Powers

Binomial Theorem - Binomial Expansion for Positive Integer Powers

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