Answer
$\frac{25}{9} $.
Work Step by Step
The given expression is
$=\frac{2}{3} \left (\frac{5}{2}+\frac{7}{3} \right )-\left ( \frac{2}{3} \right )^2$
Get a common denominator inside parentheses first.
$=\frac{2}{3} \left (\frac{15}{6}+\frac{14}{6} \right )-\left ( \frac{2}{3} \right )^2$
Add numerators inside parentheses.
$=\frac{2}{3} \left (\frac{29}{6} \right )-\left ( \frac{2}{3} \right )^2$
Multiply.
$=\frac{29}{9} -\left ( \frac{2}{3} \right )^2$
Calculate the exponent.
$=\frac{29}{9} - \frac{4}{9}$
Subtract numerators because denominators are same.
$=\frac{25}{9} $.
