Question

What is the sum? (1/x+2)+(1/x+3)+(1/X^2+5+6)

Answer 1

For this case we have the following expression:
 (1 / x + 2) + (1 / x + 3) + (1 / X ^ 2 + 5 + 6)
 Rewriting we have:
 (1 / x + 2) + (1 / x + 3) + (1 / ((x + 2) * (x + 3)))
 By doing common factor we have:
 (1 / ((x + 2) * (x + 3))) * (x + 3 + x + 2 + 1)
 Rewriting:
 (1 / ((x + 2) * (x + 3))) * (2x + 6)
 The sum is:
 ((2x + 6) / ((x + 2) * (x + 3)))
 Answer:
 ((2x + 6) / ((x + 2) * (x + 3)))