How to Integrate Fractions with Substitution?

[howsockgothap]

Homework Statement

Integrate: (5x-6)²/x^1/2

Homework Equations

The Attempt at a Solution

I tried substitution, letting u=5x-6 and then plugging that in but realized that I didn't have the proper set up for that. I'm unsure how to go about this; should I factor out the numerator or would that only make things more difficult?

 

[transphenomen]

Multiply (5x-6)^2 out and separate the equation into three terms.

 

[Char. Limit]

Expand the numerator and then it should be easy.

 

[howsockgothap]

It was very easy indeed. thanks.