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When (x - 1)(x - 2)(x - 3)(x - 4)(x - 5) is expanded, find the coefficient of x^3.

 Jun 6, 2020
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When we expand (x - 1)(x - 2)(x - 3)(x - 4)(x - 5), we get

x^5 -15x^4 +85x^3 -225x^2 +274x -120.

It's a very big number, but we only have to find the coefficient of the number behind x^3, which is 85.

So the coefficient of x^3 is 85.

 Jun 6, 2020

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