# Factoring Expression

• Jan 25th 2008, 08:29 PM
Ballplaya4237
Factoring 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 PM
CaptainBlack
Quote:

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
• Jan 27th 2008, 11:57 AM
Ballplaya4237
Could you please explain how you went about taking the common factors out of the first part?