Question

1/a+b + 1/a-b +2b/a^2-b^2 simplify​

Answer 1

`(2)/(a-b)`

Explanation:

Given

`(1)/(a+b)` +
`(1)/(a-b)` +
`(2b)/(a^2-b^2)` ← a² - b² is a difference of squares

=
`(1)/(a+b)` +
`(1)/(a-b)` =
`(2b)/((a-b)(a+b))` ← LCD is (a - b)(a+b)

=
`(a-b+a+b+2b)/((a-b)(a+b))`

=
`(2a+2b)/((a-b)(a+b))`

=
`(2(a+b))/((a-b)(a+b))` ← cancel common factor (a + b) on numerator/ denominator

=
`(2)/(a-b)`