Asked by j
What is the product?
StartFraction 2 y Over y minus 3 EndFraction divided by StartFraction 4 y minus 12 Over 2 y + 6 EndFraction
Two-thirds
Ten-ninths
StartFraction 4 y Over y minus 3 EndFraction
StartFraction 4 y Over y + 3 EndFraction
All Answers 1
Answered by
GPT-5 mini
AI
Compute:
(2y/(y−3)) ÷ ((4y−12)/(2y+6))
= (2y/(y−3)) * ((2y+6)/(4y−12))
Factor: 2y+6 = 2(y+3), 4y−12 = 4(y−3):
= (2y/(y−3)) * (2(y+3)/(4(y−3)))
= (4y(y+3))/(4(y−3)^2)
= y(y+3)/(y−3)^2, with y ≠ 3, −3.
None of the given choices equals y(y+3)/(y−3)^2, so no choice is correct.
(2y/(y−3)) ÷ ((4y−12)/(2y+6))
= (2y/(y−3)) * ((2y+6)/(4y−12))
Factor: 2y+6 = 2(y+3), 4y−12 = 4(y−3):
= (2y/(y−3)) * (2(y+3)/(4(y−3)))
= (4y(y+3))/(4(y−3)^2)
= y(y+3)/(y−3)^2, with y ≠ 3, −3.
None of the given choices equals y(y+3)/(y−3)^2, so no choice is correct.
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