Find the first $3$ terms in the expansion of ${{\left( {{x}^{2}}-2 \right)}^{10}}$ in ascending

Question

Find the first $3$ terms in the expansion of ${{\left( {{x}^{2}}-2 \right)}^{10}}$ in ascending powers of $x$. Hence find the coefficient of the ${{x}^{4}}$ term in the expansion of ${{\left( x+2 \right)}^{2}}{{\left( {{x}^{2}}-2 \right)}^{10}}$.

Accepted Answer

(a) $1024-5120x^2+11520x^4$ (b) $40960$

Binomial Theorem - Binomial Expansion for Positive Integer Powers

Binomial Theorem - Binomial Expansion for Positive Integer Powers

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