Question

Simplify $\frac{4}{x-6} + \frac{3}{x+5}$

Answer 1

Combine the fractions by finding a common denominator.     7x+2
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(x+5)(x−6)

Answer 2

$\frac{4}{x - 6} + \frac{3}{x + 5} = \frac{4(x + 5)}{(x - 6)(x + 5)} + \frac{3(x - 6)}{(x - 6)(x + 5)} = \frac{4x + 20}{(x - 6)(x + 5)} = \frac{3x - 18}{(x - 6)(x + 5)} = \frac{4x + 20 + 3x - 18}{(x - 6)(x + 5)} = \frac{4x + 3x + 20 - 18}{(x - 6)(x + 5)} = \frac{7x + 2}{(x - 6)(x + 5)}$