Precalc
posted by Joe on .
How would I simplify the following, but leave it in factored form?
[(2x+7)^6 x 5(x2)^4] + [(x2)^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.

I changed the variable to y to avoid confusion with the x used for multiplication.
[(2y+7)^6 x 5(y2)^4] + [(y2)^5 x 6(2y+7)^5 x 2]
(2y+7)^5 and (y2)^4 are common to both terms.
bring the common factors outside:
=((2y+7)^5)x((y2)^4)x[(2y+7)+(y2)x2]
There are 2 terms in the rightmost factor. Combine like items. 
Oops!
An error on my part!
The last line should be:
=((2y+7)^5)x((y2)^4)x[5x(2y+7)+6x(y2)x2]