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

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Answer 1 · 2014-10-31T16:12:21

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

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

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

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

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

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