Solve 17^2-1/5^2=

$$17 ^ { 2 } - 1 / 5 ^ { 2 } =$$

Evaluate

$$\frac{7224}{25}=288.96$$

Solution Steps

Calculate 17 to the power of 2 and get 289.

$$289-\left(\frac{1}{5}\right)^{2}$$

Calculate \frac{1}{5} to the power of 2 and get \frac{1}{25}.

$$289-\frac{1}{25}$$

Convert 289 to fraction \frac{7225}{25}.

$$\frac{7225}{25}-\frac{1}{25}$$

Since \frac{7225}{25} and \frac{1}{25} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7225-1}{25}$$

Subtract 1 from 7225 to get 7224.

$$\frac{7224}{25}$$

Factor

$$\frac{2 ^ {3} \cdot 3 \cdot 7 \cdot 43}{5 ^ {2}} = 288\frac{24}{25} = 288.96$$