x+5 per x-2 + x-2 per x+5

[tex]\frac{x+5}{x-2}+\frac{x-2}{x+5}=\frac{(x+5)(x+5)+(x-2)(x-2)}{(x+5)(x-2)}[/tex]
[tex]=\frac{(x^{2}+10x+25)+(x^{2}-4x+4)}{(x^{2}+3x-10)}[/tex]
[tex]=\frac{2x^{2}+6x+29}{x^{2}+3x-10}[/tex]