Question

Subtract and Simplify:

4a^2/(a-b)-(4b^2-8ab)/(b-a)
I have the answer as 4(a+b)^2/(a-b)

or should it be 4(a-b)^2/(a-b)

Answer 1

just the numerator..

4a^2-8ab + 4b^2, right?
4(a-b)^2

Now does that reduce with the denominator?

Answer 2

Okay I have the answer as 4(a-b) is that right

Answer 3

What about
4a^2/(a-b)-(4b^2-8ab)/(b-a)
I thought that you would multiple the second part of the equation by -1
-(4b^2-8ab)/(b-a)
to get the common LCD of a-b
So I thought the equation would be 4a^2/(a-b) + (4b^2 + 8ab)/(a-b)

I have the answer as 4(a+b)^2/(a-b)