Factor the Expression Completely:

5(x^2+4)^4 (2x)(x-2)^4 + (x^2+4)^5 (4)(x-2)^3

Thanks

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- Jan 25th 2008, 08:29 PMBallplaya4237Factoring Expression
Factor the Expression Completely:

5(x^2+4)^4 (2x)(x-2)^4 + (x^2+4)^5 (4)(x-2)^3

Thanks - Jan 25th 2008, 10:55 PMCaptainBlack
First take out the common factors of:

$\displaystyle 5(x^2+4)^4 (2x)(x-2)^4 + (x^2+4)^5 (4)(x-2)^3=(x^2+4)^4(x-2)^3(10x(x-2) + 4(x^2+4))$

Expand the last bracket:

$\displaystyle (x^2+4)^4(x-2)^3(10x(x-2) + 4(x^2+4))=

(x^2+4)^4(x-2)^3(14x^2-20x+16)$

Finally check my algebra, and check that each of the terms on the right in the last equation do not have further real factors.

RonL - Jan 27th 2008, 11:57 AMBallplaya4237
Could you please explain how you went about taking the common factors out of the first part?