Find the derivative and simplify your answer to factor form
y= (3x^2+8)^4 ( x^3-2x+7)^5

I did it till
(24x)(3x^2+8)^3 (x^3-2x+7)^5 + (15x^2-10)(3x^2+8)^4 (x^3-2x+7)^4

what do i do next

Question

Find the derivative and simplify your answer to factor form 
y= (3x^2+8)^4 ( x^3-2x+7)^5

I did it till
(24x)(3x^2+8)^3 (x^3-2x+7)^5 + (15x^2-10)(3x^2+8)^4 (x^3-2x+7)^4 

what do i do next

anonymous · Answer

$$(3 x^2+8)^3 (x^3-2 x+7)^4 (69 x^4+42 x^2+168 x-80)$$

anonymous · Answer

ljensen is correct in stating to pull out the greatest common factors.
Then group like terms of what is left...you are good to go.

anonymous · Answer

how come i got 24x^4 instead of 69x^4..

anonymous · Answer

There is also an $x^4$ term from the second piece $15\cdot 3=45$  for a combined coefficient of 69.

anonymous · Answer

I dont see 15x3..

(24x)(3x^2+8)^3 (x^3-2x+7)^5 + (15x^2-10)(3x^2+8)^4 (x^3-2x+7)^4 

first of all, is this right..?

anonymous · Answer

I dont see any 3 there..

anonymous · Answer

$15x^2\cdot 3x^2$

anonymous · Answer

ohhh !! got it! ty very mcuh :)