What is the coefficient of $x^4$ in the expansion of $(1-2x^2)^5$?

0

2052

1

+1836

$$What is the coefficient of $x^4$ in the expansion of $(1-2x^2)^5$?$$

Mellie May 8, 2015

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Best Answer

+129852

+11

(1 - 2x^2)^5

The x^4 term will be

C(5,2)[1]^3 [2x^2]^2 = 10 [1] [ 2x^2]^2 = [10*4]x^4

So...the coefficient is 40

CPhill May 9, 2015

1⁺⁰ Answers

+129852

+11

Best Answer

(1 - 2x^2)^5

The x^4 term will be

C(5,2)[1]^3 [2x^2]^2 = 10 [1] [ 2x^2]^2 = [10*4]x^4

So...the coefficient is 40

CPhill May 9, 2015

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