Find the first $3$ terms in the expansion of ${{\left( 2x-3 \right)}^{5}}$ in ascending powers o

Question

Find the first $3$ terms in the expansion of ${{\left( 2x-3 \right)}^{5}}$ in ascending powers of $x$. Hence find the coefficient of the ${{x}^{2}}$ term in the expansion of ${{\left( 3x+2 \right)}^{2}}{{\left( 2x-3 \right)}^{5}}$.

Accepted Answer

(a) $-243 + 810x - 1080x^2 + \ldots$ (b) $3213$

Binomial Theorem - Binomial Expansion for Positive Integer Powers

Binomial Theorem - Binomial Expansion for Positive Integer Powers

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