Question

How would I simplify the following, but leave it in factored form?

[(2x+7)^6 x 5(x-2)^4] + [(x-2)^5 x 6(2x+7)^5 x 2]

If you can also explain how to do it step by step, that would be VERY appreciated. THANK YOU SO MUCH.

Answer 1

I changed the variable to y to avoid confusion with the x used for multiplication.

[(2y+7)^6 x 5(y-2)^4] + [(y-2)^5 x 6(2y+7)^5 x 2]
(2y+7)^5 and (y-2)^4 are common to both terms.
bring the common factors outside:
=((2y+7)^5)x((y-2)^4)x[(2y+7)+(y-2)x2]
There are 2 terms in the rightmost factor. Combine like items.

Answer 2

Oops!
An error on my part!
The last line should be:
=((2y+7)^5)x((y-2)^4)x[5x(2y+7)+6x(y-2)x2]