Simplify (4)/(x-6) + (3)/(x+5)

Question

Simplify
`(4)/(x-6) + (3)/(x+5)`

Answer 1

`(4)/(x - 6) + (3)/(x + 5) = (4(x + 5))/((x - 6)(x + 5)) + (3(x - 6))/((x - 6)(x + 5)) = (4x + 20)/((x - 6)(x + 5)) = (3x - 18)/((x - 6)(x + 5)) = (4x + 20 + 3x - 18)/((x - 6)(x + 5)) = (4x + 3x + 20 - 18)/((x - 6)(x + 5)) = (7x + 2)/((x - 6)(x + 5))`

Answer 2

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