Question

Which sum is equal to

Answer 1

Correct choice is A

Explanation:

Note that the denominator
`x^2-25=(x-5)(x+5).` Then rewrite the numerator
`x^2+6x-5` as
`x^2+5x+x-5=x(x+5)+(x-5).`

Substitute both expression into the initial expression:

`(x^2+6x-5)/(x^2-25)=(x(x+5)+(x-5))/((x+5)(x-5))=(x(x+5))/((x+5)(x-5))+((x-5))/((x+5)(x-5))=(x)/(x-5)+(1)/(x+5).`