Question

How do you simplify `(x)/(x-1) - (4)/(x+2)`?

Answer 1

`(x^2 -2x+4)/((x-1)(x+2))`

Explanation:

To add fractions, find the LCD and then make equivalent fractions.

`(x)/(x-1) - (4)/(x+2) " LCD" = (x-1)(x+2)`

=`(x(x+2)- 4(x-1))/((x-1)(x+2))`

=`(x^2 +2x- 4x+4)/((x-1)(x+2))`

=`(x^2 -2x+4)/((x-1)(x+2))`