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