Answer :
[tex]\frac{x + 9}{x^{3} - 9x^{2} + 15x + 25}[/tex]
[tex]\frac{x + 9}{x^{3} - 10x^{2} + x^{2} + 25x - 10x + 25}[/tex]
[tex]\frac{x + 9}{x^{3} - 10x^{2} + 25x + x^{2} - 10x + 25}[/tex]
[tex]\frac{x + 9}{x(x^{2}) - x(10x) + x(25) + 1(x^{2}) - 1(10x) + 1(25)}[/tex]
[tex]\frac{x + 9}{x(x^{2} - 10x + 25) + 1(x^{2} - 10x + 25)}[/tex]
[tex]\frac{x + 9}{(x + 1)(x^{2} - 10x + 25)}[/tex]
[tex]\frac{x + 9}{(x + 1)(x^{2} - 5x - 5x + 25)}[/tex]
[tex]\frac{x + 9}{(x + 1)(x(x) - x(5) - 5(x) + 5(5)}[/tex]
[tex]\frac{x + 9}{(x + 1)(x(x - 5) - 5(x -5))}[/tex]
[tex]\frac{x + 9}{(x + 1)(x - 5)(x - 5)}[/tex]
[tex]\frac{x + 9}{(x + 1)(x - 5)^{2}}[/tex]
[tex]\frac{x + 9}{x^{3} - 10x^{2} + x^{2} + 25x - 10x + 25}[/tex]
[tex]\frac{x + 9}{x^{3} - 10x^{2} + 25x + x^{2} - 10x + 25}[/tex]
[tex]\frac{x + 9}{x(x^{2}) - x(10x) + x(25) + 1(x^{2}) - 1(10x) + 1(25)}[/tex]
[tex]\frac{x + 9}{x(x^{2} - 10x + 25) + 1(x^{2} - 10x + 25)}[/tex]
[tex]\frac{x + 9}{(x + 1)(x^{2} - 10x + 25)}[/tex]
[tex]\frac{x + 9}{(x + 1)(x^{2} - 5x - 5x + 25)}[/tex]
[tex]\frac{x + 9}{(x + 1)(x(x) - x(5) - 5(x) + 5(5)}[/tex]
[tex]\frac{x + 9}{(x + 1)(x(x - 5) - 5(x -5))}[/tex]
[tex]\frac{x + 9}{(x + 1)(x - 5)(x - 5)}[/tex]
[tex]\frac{x + 9}{(x + 1)(x - 5)^{2}}[/tex]