Perform the indicated operation, then simplify.

Question

5a2 + 12a + 4/a4 − 16
÷
25a2 + 20a + 4/a2 − 2a

I think I'm supposed to switch the top and bottom, and then multiply. Is this correct?

Answer 1

assuming the usual carelessness with parentheses, we have

(a+2)(5a+2) / (a+2)(a-2)(a^2+4)
-----------------------------------
(5a+2)(5a+2) / a(a-2)

(5a+2) / (a-2)(a^2+4) * a(a-2) / (5a+2)(5a+2)

a / (a^2+4)(5a+2)