Answer
$\frac{7}{75} $.
Work Step by Step
The given expression is
$=\frac{8}{9} \left (\frac{2}{5}-\frac{7}{10} \right )+\left ( \frac{3}{5} \right )^2$
Get a common denominator inside parentheses first.
$=\frac{8}{9} \left (\frac{4}{10}-\frac{7}{10} \right )+\left ( \frac{3}{5} \right )^2$
Subtract numerators inside parentheses.
$=\frac{8}{9} \left (-\frac{3}{10} \right )+\left ( \frac{3}{5} \right )^2$
Multiply.
$=-\frac{4}{15} +\left ( \frac{3}{5} \right )^2$
Calculate the exponent.
$=-\frac{4}{15} + \frac{9}{25} $
Get a common denominator.
$=-\frac{20}{75} + \frac{27}{75} $
Subtract numerators because denominators are same.
$=\frac{7}{75} $.
