Question

What’s the answer?? need help

Answer 1

option A

`((x+2)(x+5))/(x^(3)-9x )`

Explanation:

Take LCM

`(2x+5)/(x(x-3))-(3x+5)/(x(x^(2)-9))+(x+1)/((x+3)(x-3))`

`(2x+5)/(x(x-3))-(3x+5)/(x((x+3)(x-3)))+(x+1)/((x+3)(x-3))`

`((2x+5)(x+3))/(x(x+3)(x-3))-(3x+5)/(x((x+3)(x-3)))+((x+1)(x))/(x(x+3)(x-3))`

Now the Denominator is same we can add the numerator

`((2x^(2)+11x+15))/(x(x+3)(x-3))-(3x+5)/(x((x+3)(x-3)))+((x^(2)+x))/(x(x+3)(x-3))`

`(2x^(2)-x^(2)+11x-3x-x+15-5)/(x(x+3)(x-3))`

`(x^(2)+7x+10)/(x(x+3)(x-3))`

`((x+2)(x+5))/(x(x+3)(x-3))`

`((x+2)(x+5))/(x^(3)-9x)`