Question

20" id="TexFormula1" title=" \frac{x}{3x - 6} \ \div \frac{x + 9}{x - 2} " alt=" \frac{x}{3x - 6} \ \div \frac{x + 9}{x - 2} " align="absmiddle" class="latex-formula">

Answer 1

Simplify the following:
x/((x - 2) (x + 9) (3 x - 6))

Factor 3 out of 3 x - 6:
x/(3 (x - 2) (x - 2) (x + 9))

Combine powers. x/((x - 2) (x + 9)×3 (x - 2)) = (x (x - 2)^(-1 - 1))/((x + 9)×3):
(x (x - 2)^(-1 - 1))/(3 (x + 9))

-1 - 1 = -2:
Answer: (x (x - 2)^(-2))/(3 (x + 9))