Binomial Theorem - Sums of Coefficients in Polynomial Expansions

Binomial Theorem - Sums of Coefficients in Polynomial Expansions

IP 4

Given that \({{\left( 5x-2 \right)}^{7}}={{a}_{0}}+{{a}_{1}}x+{{a}_{2}}{{x}^{2}}+\cdots +{{a}_{7}}{{x}^{7}}\), find the value of \(\left| {{a}_{0}} \right|+\left| {{a}_{1}} \right|+\left| {{a}_{2}} \right|+\cdots +\left| {{a}_{7}} \right|\).

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Answer:\(823543\)

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