Question

5+х² х
_____- ______
х²-36 х+6

Answer 1

$frac{5+x^{2}}{x^{2}-36} - frac{x}{x+6} =$ $frac{5+x^{2}}{(x-6)(x+6)} - frac{x}{x+6} =$ $frac{5+x^{2} - x (x - 6)}{(x-6)(x+6)} =$ $frac{5+x^{2} - x^{2} + 6x}{(x-6)(x+6)} =$ $frac{5 + 6x}{(x-6)(x+6)}$