Find the first three terms in the expansion, in ascending powers of $x$, of \({{\left( 2+x \right)

Question

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

Accepted Answer

(i) $256+1024x+1792x^2+\cdots$ (ii) $768x^2$

Binomial Theorem - Binomial Expansion for Positive Integer Powers

Binomial Theorem - Binomial Expansion for Positive Integer Powers

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