Perform the indicated operation, then simplify.
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?
assuming the usual carelessness with parentheses, we have
(a+2)(5a+2) / (a+2)(a-2)(a^2+4)
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(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)