Differentiation Factorization

[sdouma]

I have tried some differentiation factorization but I can't seem to get it right. Please help and explain how you got to the answer. I feel like I am almost there I am just missing something.
Simplify this equation with factorization using differentiation.
3(x+1)^1/2 (2x-3)^5/2 +10(x+1)^3/2 (2x-3)^3/2

Thank you for your help in advanced

 

[tkhunny]

If only one could understand what is being asked. Please use more parentheses and spaces to clarify meaning.

Guessing:

Factor out (x+1)^(1/2)

Factor out (2x-3)^(3/2)

You tell me what that leaves.