Question

Perform the indicated operation.(3/a+2) + (4/a-5)

Answer 1

`(7(a-1))/((a+2)(a-5))`

Explanation:

To solve this operation we need to find the common multiple of both denominators and solve for a.

`(3)/(a+2) + (4)/(a-5) =(3(a-5)+4(a+2))/((a+2)(a-5)) =(3a-15+4a+8)/((a+2)(a-5)) =(7a-7)/((a+2)(a-5)) =(7(a-1))/((a+2)(a-5))`

Thus, the solution is 7(a -1) / (a+2)(a-5)