Evaluate (8-3)^2-((4+1)^3)/(5^2)

${(8 - 3)}^{2} - \frac{{(4 + 1)}^{3}}{5^{2}}$

Step 1

Simplify each term.

Subtract $3$ from $8$ .

$5^{2} - \frac{{(4 + 1)}^{3}}{5^{2}}$

Raise $5$ to the power of $2$ .

$25 - \frac{{(4 + 1)}^{3}}{5^{2}}$

Simplify the numerator.

Add $4$ and $1$ .

$25 - \frac{5^{3}}{5^{2}}$

Raise $5$ to the power of $3$ .

$25 - \frac{125}{5^{2}}$

$25 - \frac{125}{5^{2}}$

Raise $5$ to the power of $2$ .

$25 - \frac{125}{25}$

Divide $125$ by $25$ .

$25 - 1 \cdot 5$

Multiply $- 1$ by $5$ .

$25 - 5$

$25 - 5$

Step 2

Subtract $5$ from $25$ .

$20$

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