Question

simplify 3-x/3x/9-x^2/5x^3

Answer 1

so you are dividing by a fraction... so find the reciprocal of the denominator and multiply

\[\frac{3 - x}{3x} \times \frac{5x^3}{9 - x^2}\]

you can factor the denominator of the 2nd fraction so

\[\frac{3 - x}{3x} \times \frac{5x^3}{(3 - x)(3 + x)}\]

this will help you to simplify the expression.

Answer 2

ummm removing the obvious common factor leaves

\[\frac{5x^3}{3x(3 + x)}\]

there is still a common factor that can be removed...

Answer 3

yes there is a common factor of x that can be removed...

just distribute the denominator for the final solution.