Question

Find the difference.
9/x^2-6x - 7/x^2-36
WILL BECOME FAN AND WILL GIVE MEDAL FOR BEST ANSWER!!! PLEASE HELP

Answer 1

@BloomLocke367

Answer 2

@1289florida

Answer 3

you need a common denominator so factor both denomunators

\[\frac{9}{x(x-6)} - \frac{7}{(x -6)(x + 6)}\]

so to get the common denominator you need

\[\frac{9}{x(x-6)} \times \frac{(x + 6)}{(x +6)} - \frac{7}{(x -6)(x + 6)} \times \frac{x}{x}\]

whoch becomes

\[\frac{9(x + 6) - 7 \times x}{x(x-6)(x+6)}\]

simplify the numerator for the answer