Answer:
[tex]\frac{x^{2}-100 }{x^{2}+2x-120 }+\frac{6x+60}{x-2}\\\\\\=\frac{(x-10)(x+10)}{(x-10)(x+12)}+\frac{6x+60}{x-2}\\\\=\frac{x+10}{x+12}+\frac{6(x+10)}{x-2}\\\\=(x+10(\frac{1}{x+12}+\frac{6}{x-2})\\\\=(x+10)(\frac{x-2+6x+6.12}{(x+12)(x-2)})\\\\=(x+10)(\frac{7x+70}{(x+12)(x-2)})\\=\frac{7(x+10)^{2} }{(x+12)(x-2)}[/tex]
It's the simplest form I can make
Step-by-step explanation:
