Skip to main content
Evaluate
Tick mark Image
Expand
Tick mark Image
Graph

Similar Problems from Web Search

Share

\frac{\left(3x+5x^{2}\right)\left(x^{2}-81\right)}{\left(x-9\right)^{2}\left(5x-3\right)}
Divide \frac{3x+5x^{2}}{\left(x-9\right)^{2}} by \frac{5x-3}{x^{2}-81} by multiplying \frac{3x+5x^{2}}{\left(x-9\right)^{2}} by the reciprocal of \frac{5x-3}{x^{2}-81}.
\frac{x\left(x-9\right)\left(x+9\right)\left(5x+3\right)}{\left(5x-3\right)\left(x-9\right)^{2}}
Factor the expressions that are not already factored.
\frac{x\left(x+9\right)\left(5x+3\right)}{\left(x-9\right)\left(5x-3\right)}
Cancel out x-9 in both numerator and denominator.
\frac{5x^{3}+48x^{2}+27x}{5x^{2}-48x+27}
Expand the expression.
\frac{\left(3x+5x^{2}\right)\left(x^{2}-81\right)}{\left(x-9\right)^{2}\left(5x-3\right)}
Divide \frac{3x+5x^{2}}{\left(x-9\right)^{2}} by \frac{5x-3}{x^{2}-81} by multiplying \frac{3x+5x^{2}}{\left(x-9\right)^{2}} by the reciprocal of \frac{5x-3}{x^{2}-81}.
\frac{x\left(x-9\right)\left(x+9\right)\left(5x+3\right)}{\left(5x-3\right)\left(x-9\right)^{2}}
Factor the expressions that are not already factored.
\frac{x\left(x+9\right)\left(5x+3\right)}{\left(x-9\right)\left(5x-3\right)}
Cancel out x-9 in both numerator and denominator.
\frac{5x^{3}+48x^{2}+27x}{5x^{2}-48x+27}
Expand the expression.