Answer:
y - 9
Explanation:
(y-9)²/4÷(4y-36)/16
is a fraction divided by a fraction.
When you have one or two fractions with a division, use Keep-Change-Flip.
Keep the first term:
(y-9)²/4
then Change the ÷ to a times.
(Y-9)²/4•
then Flip the second term.
(y-9)²/4 • 16/(4y-36)
You can factor the term (y-9)² into
(y-9)(y-9).
The other term (4y-36) can also be factored into
4(y-9).
see image.
The 4's and the y-9 terms can be "cancelled".
see image. The only term left is y-9.