In the expansion of $\left( -3+2x \right){{\left( 1-3x \right)}^{n}}$, the sum of the coefficients

Question

In the expansion of $\left( -3+2x \right){{\left( 1-3x \right)}^{n}}$, the sum of the coefficients of the term in $x$ and the term in ${{x}^{2}}$ is $-544$. Find the value of $n$ where $n$ is a positive integer.

Accepted Answer

$n=7$

Binomial Theorem - Coefficients in Products of Binomial Expansions

Binomial Theorem - Coefficients in Products of Binomial Expansions

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