Question

X+9/x^3-9x^2+15x+25
how do I solve this

Answer 1

`(x + 9)/(x^(3) - 9x^(2) + 15x + 25)`

`(x + 9)/(x^(3) - 10x^(2) + x^(2) + 25x - 10x + 25)`

`(x + 9)/(x^(3) - 10x^(2) + 25x + x^(2) - 10x + 25)`

`(x + 9)/(x(x^(2)) - x(10x) + x(25) + 1(x^(2)) - 1(10x) + 1(25))`

`(x + 9)/(x(x^(2) - 10x + 25) + 1(x^(2) - 10x + 25))`

`(x + 9)/((x + 1)(x^(2) - 10x + 25))`

`(x + 9)/((x + 1)(x^(2) - 5x - 5x + 25))`

`(x + 9)/((x + 1)(x(x) - x(5) - 5(x) + 5(5))`

`(x + 9)/((x + 1)(x(x - 5) - 5(x -5)))`

`(x + 9)/((x + 1)(x - 5)(x - 5))`

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