1. ## Factoring Expression

Factor the Expression Completely:
5(x^2+4)^4 (2x)(x-2)^4 + (x^2+4)^5 (4)(x-2)^3

Thanks

2. Originally Posted by Ballplaya4237
Factor the Expression Completely:
5(x^2+4)^4 (2x)(x-2)^4 + (x^2+4)^5 (4)(x-2)^3

Thanks
First take out the common factors of:

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

Expand the last bracket:

$(x^2+4)^4(x-2)^3(10x(x-2) + 4(x^2+4))=
(x^2+4)^4(x-2)^3(14x^2-20x+16)$

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

3. Could you please explain how you went about taking the common factors out of the first part?