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

Similar Problems from Web Search

Share

\frac{\left(-\frac{2}{3}\right)^{2}a^{2}x^{2}+\frac{1}{2}ax\left(\frac{4}{3}a+\frac{5}{2}x\right)+a\left(\frac{2}{3}ax-\frac{5}{4}x^{2}\right)}{\left(-a\right)x}
Expand \left(-\frac{2}{3}ax\right)^{2}.
\frac{\frac{4}{9}a^{2}x^{2}+\frac{1}{2}ax\left(\frac{4}{3}a+\frac{5}{2}x\right)+a\left(\frac{2}{3}ax-\frac{5}{4}x^{2}\right)}{\left(-a\right)x}
Calculate -\frac{2}{3} to the power of 2 and get \frac{4}{9}.
\frac{\frac{1}{36}\times 16x\left(x+3\right)a^{2}}{-ax}
Factor the expressions that are not already factored.
\frac{\frac{1}{36}\times 16a\left(x+3\right)}{-1}
Cancel out ax in both numerator and denominator.
-\frac{4}{9}ax-\frac{4}{3}a
Expand the expression.
\frac{\left(-\frac{2}{3}\right)^{2}a^{2}x^{2}+\frac{1}{2}ax\left(\frac{4}{3}a+\frac{5}{2}x\right)+a\left(\frac{2}{3}ax-\frac{5}{4}x^{2}\right)}{\left(-a\right)x}
Expand \left(-\frac{2}{3}ax\right)^{2}.
\frac{\frac{4}{9}a^{2}x^{2}+\frac{1}{2}ax\left(\frac{4}{3}a+\frac{5}{2}x\right)+a\left(\frac{2}{3}ax-\frac{5}{4}x^{2}\right)}{\left(-a\right)x}
Calculate -\frac{2}{3} to the power of 2 and get \frac{4}{9}.
\frac{\frac{1}{36}\times 16x\left(x+3\right)a^{2}}{-ax}
Factor the expressions that are not already factored.
\frac{\frac{1}{36}\times 16a\left(x+3\right)}{-1}
Cancel out ax in both numerator and denominator.
-\frac{4}{9}ax-\frac{4}{3}a
Expand the expression.