Perform the indicated operation and simplify your answer in factored form.

a^2+6a-7/2a^2+4a^2+2a*2a/a^2-1

Step-by-step explanation:

The given expression is

First, we solve the division

Second, we factor the numerator

The first expression is the difference between two perfect squares, and the second expression is about finding to number which product is 7 and which difference is 6.

Third, we factor the denominator

We extract the common factor from the trinomial

Now, we find two number which product is 1 and which sum is 2

Then, we replace all factor in the initial fraction

Equal factors are simplified, given as result

-1, -2, -3, -4, -6

step-by-step explanation: