What is the coefficient of x2 in the expansion of (x + 2)3?

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01-06-2017
Mathematics

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What is the coefficient of x2 in the expansion of (x + 2)3?

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JunhaoZ JunhaoZ · Answer 1 · 2017-06-01T23:19:09+02:00

JunhaoZ JunhaoZ

01-06-2017

one way is that you can just factor it out: (x+2)(x+2)(x+2)
For the first pair, you get [tex]x^2+4x+4[/tex].
Then do [tex](x^2+4x+4)[/tex]*[tex](x+2)[/tex]
That will be [tex]x^3+6x^2+12x+8[/tex]
So the answer is 6

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