Question

Perform the indicated operation.

I will attach a picture below ^-^

Answer 1

First, change from dividing to multiplying:
\[\frac{8}{9-a^2} \div \frac{4a^2 - 4a - 24}{a^2-6a+9} = \frac{8}{9-a^2} \times \frac{a^2-6a+9}{4a^2 - 4a - 24}\]

Answer 2

Next, factor:
\[\frac{8}{-(a-3)(a+3)} \times \frac{(a-3)^2}{4(a-3)(a+2)}\]

Answer 3

Think you can take it from here?

Answer 4

Yes ^-^ Thank you so much!

Answer 5

No problem, glad I could help you, since I was homeschooled as well.

Answer 6

Haha yeah. This is my first year of home schooling. I was surprised on how hard the work was ^-^

Answer 7

Very true, hope you keep at it! =)