4x 8
___ - ______
x+2 x-1
*Simplify The Expression
I'm going to assume your problem is this:
4x/(x+2) - 8/(x-1)
Use a common denominator since the denominators are not the same.
Common denominator is: (x+2)(x-1)
Rewriting the problem, we have:
4x(x-1)/(x+2)(x-1) - 8(x+2)/(x+2)(x-1)
Combining the numerators:
[4x(x-1) - 8(x+2)]/(x+2)(x-1)
Simplify the numerator. Remember to watch signs. If the numerator can be factored, try it. Then reduce further if you can.
I hope this will help.
To simplify the expression, we need to distribute and combine like terms in the numerator:
[4x(x-1) - 8(x+2)] = [4x^2 - 4x - 8x - 16] = [4x^2 - 12x - 16]
So the simplified expression is:
(4x^2 - 12x - 16)/(x+2)(x-1)