Evaluate: (3 * 5^2/15)-(5-2^2)

Expression: $\left( 3 \times {5}^{2}\div15 \right)-\left( 5-{2}^{2} \right)$

Write the division as a fraction

$\frac{ 3 \times {5}^{2} }{ 15 }-\left( 5-{2}^{2} \right)$

Evaluate the power

$\frac{ 3 \times {5}^{2} }{ 15 }-\left( 5-4 \right)$

Cancel out the common factor $3$

$\frac{ {5}^{2} }{ 5 }-\left( 5-4 \right)$

Subtract the numbers

$\frac{ {5}^{2} }{ 5 }-1$

Cancel out the common factor $5$

$5-1$

Subtract the numbers

$4$