Perform the indicated operation. Simplify the answer, if possible.?

Question

5/ y - 2 + 2/ y + 2

Answer 1

Hi,

In this problem, you need to notice that the constant values of -2 and 2 would cancel out since they amount to 0 .

After cancelling these two numbers, we then see that we are left with 5/y + 2/y. In this expression, the two fractions have a common denominator of y and therefore, we are allowed to add the numerators repectively to get:

7 / y <==== FINAL ANSWER

I hope that helps you out! Please let me know if you have any other questions!

Sincerely,

Andrew

Answer 2

If this is 5/(y-2) + 2 /(y+2)
then[5(y+2) + 2(y-2) ] / (y-2)(y+2)
or (7y +6) / (y^2 -4)

Answer 3

5/ (y - 2) + 2/ (y + 2) <-- Assumed you meant this.
= {5(y+2) + 2(y-2)}/(y^2-4)
= (5y+10+2y-4)/(y^2 -4)
= (7y+6)/(y^2-4)