Question

perform indicated operations.
(5ab)/(a^2-b^2)+(a+b)/(a-b)

Answer 1

5ab/(a+b)(a-b) + (a+b)/(a-b)
= 5ab/(a+b)(a-b) + (a+b)^2/(a+b)(a-b)
= (5ab + (a+b)^2)/(a+b)(a-b)
= (a^2 + 7ab + b^2)/(a^2 - b^2)