(2a^x +1/2 b^x)^2 thank you!!!!!!!!!!!!!!!!!!!1

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amandaesmith01 amandaesmith01

04-06-2018
Mathematics

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(2a^x +1/2 b^x)^2 thank you!!!!!!!!!!!!!!!!!!!1

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altavistard altavistard · Answer 1 · 2018-06-15T00:07:04+02:00

Note that (a+b)^2 = a^2 + 2ab + b^2.

Therefore,
b^x (b^x )^2
(2a^x +1/2 b^x)^2 becomes (2a^x)^2 + 2(2a^x)(-------- ) + ------------
2 4

LCD is 4. Thus, we have

4 [ (2a^(2x) ] + 8a^x*b^x + b^(2x)