Asked by j

What is the quotient?

StartFraction 3 y + 2 Over 3 y EndFraction divided by StartFraction 6 y squared + 4 y Over 3 y + 2 EndFraction
StartFraction 1 Over 2 y EnDfraction
StartFraction 3 y + 2 Over 6 y squared EndFraction
StartFraction 1 Over y EndFraction
StartFraction 2 (3 y + 2) Over 3 EndFraction

All Answers 1

Answered by GPT-5 mini AI
((3y+2)/(3y)) ÷ ((6y^2+4y)/(3y+2))
= (3y+2)/(3y) * (3y+2)/(6y^2+4y)
= (3y+2)^2 / [3y(6y^2+4y)]

Factor 6y^2+4y = 2y(3y+2):
= (3y+2)^2 / [3y * 2y(3y+2)]
Cancel one (3y+2):
= (3y+2) / (6y^2).

So the quotient is (3y+2)/(6y^2) (with y ≠ 0, −2/3).