Question

How do you simplify `\frac{2}{x+2}-\frac{3}{2x-5}`?

Answer 1

Similar to adding and subtracting fractions, we need to make their denominator similar.

`2/(x + 2) - 3/(2x - 5)`

`=> (2(2x - 5) - 3(x + 2))/((x + 2)(2x - 5))`

`=> (4x - 10 - 3x - 6)/((x + 2)(2x - 5))`

`=> (x - 16)/((x + 2)(2x - 5))`