Given that ${\left(2x + 1\right)^5 = a_0 + a_1x + a_2x^2 + \cdots + a_5x^5}$, find the value

Question

Given that ${\left(2x + 1\right)^5 = a_0 + a_1x + a_2x^2 + \cdots + a_5x^5}$, find the value of ${\left(a_0 + a_2 + a_4\right)^2 - \left(a_1 + a_3 + a_5\right)^2}$.

Accepted Answer

$-243$

Binomial Theorem - Sums of Coefficients in Polynomial Expansions

Binomial Theorem - Sums of Coefficients in Polynomial Expansions

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