Question

How do you simplify `(2x^2-56)/(x^2-16) - (x+7)/(x+4)`?

Answer 1

`(x-7)/(x-4)`

Explanation:

`(2x^2-56)/(x^2-16)-(x+7)/(x+4)`

=`[(2x^2-56)-(x+7)*(x-4)]/(x^2-16)`

=`[(2x^2-56)-(x^2+3x-28)]/(x^2-16)`

=`(x^2-3x-28)/(x^2-16)`

=`[(x-7)(x+4)]/[(x-4)(x+4)]`

=`(x-7)/(x-4)`