Asked by htht

What is the difference?

StartFraction x Over x squared + 3 x + 2 EndFraction minus StartFraction 1 Over (x + 2) (x + 1) EndFraction
StartFraction x minus 1 Over 6 x + 4 EndFraction
StartFraction negative 1 Over 4 x + 2 EndFraction
StartFraction 1 Over x + 2 EndFraction
StartFraction x minus 1 Over x squared + 3 x + 2 EndFraction

All Answers 1

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

Since x^2+3x+2 = (x+1)(x+2), same denominator, subtract the numerators:

= (x - 1)/((x+1)(x+2)) = (x-1)/(x^2+3x+2).

So the correct choice is StartFraction x minus 1 Over x squared + 3 x + 2 EndFraction. Domain: x ≠ -1, -2.