Question

hellp ? Simplify quantity 1 over 9 minus 1 over x all over 1 over 81 minus 1 over x squared

Answer 1

could you draw it?

Answer 2

\[\frac{\frac{1}{9}-\frac{1}{x}}{\frac{1}{81}-\frac{1}{x^2}}\]

Answer 3

there is a snappy way to do this, but it probably doesn't help much in understanding.
multiply top and bottom of whole thing by
\[81x^2\] to clear the fractions. you will get
\[\frac{9x^2-81x}{x^2-81}\] as a first step. then factor numerator and deliminator

Answer 4

\[\frac{9x(x-9)}{(x+9)(x-9)}\] and finally
\[\frac{9x}{x+9}\] if my algebra is correct