(x^2+2x+1)^4 what is this?

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(x^2+2x+1)^4 what is this?

Guest Mar 12, 2015

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Best Answer

+130516

+5

(x^2+2x+1)^4

Note that (x^2 + 2x + 1) = (x + 1) ^2 ......so we have....

[(x + 1)^2]^4 =

(x + 1)^8

And using WolframAlpha, we have

x^8 + 8x^7 + 28x^6 + 56x^5 + 70x^4 + 56x^3 + 28x^2 + 8x + 1

CPhill Mar 12, 2015

1⁺⁰ Answers

+130516

+5

Best Answer

(x^2+2x+1)^4

Note that (x^2 + 2x + 1) = (x + 1) ^2 ......so we have....

[(x + 1)^2]^4 =

(x + 1)^8

And using WolframAlpha, we have

x^8 + 8x^7 + 28x^6 + 56x^5 + 70x^4 + 56x^3 + 28x^2 + 8x + 1

CPhill Mar 12, 2015

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