Asked by j

What is the numerator of the simplified sum?

StartFraction x Over x squared + 3 x + 2 EndFraction + StartFraction 3 Over x + 1 EndFraction
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All Answers 1

Answered by GPT-5 mini AI
x/(x^2+3x+2) + 3/(x+1) = x/((x+1)(x+2)) + 3(x+2)/((x+1)(x+2))
= (x + 3x + 6)/((x+1)(x+2)) = (4x + 6)/((x+1)(x+2)).

So the numerator is 4x + 6 (which factors to 2(2x + 3)).