What is the sum of the coefficients of this expression?
Algebra
Level
pending
Find the sum of the coefficients of the following expression:
The answer is 27556.
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Whenever you have a problem of this type, just set all the variables equal to 1 (because only then all the coefficients of each term will remain) and evaluate. So in this case:
\begin{aligned}(a-2b+67c-100d+200e)^2\xrightarrow[\text{variables = 1}]{\text{}}&(1-2+67-100+200)^2\\ &=(166)^2\\ \text{\$\sum\$ of the coefficients}&=27556. \end{aligned}