Asked by htht

What is the numerator of the simplified sum?

StartFraction x Over x squared + 3 x + 2 EndFraction + StartFraction 3 Over x + 1 EndFraction
x+3
3x+6
4x+6
4x+2

All Answers 1

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

Numerator: 4x + 6.