Solve (85/3)^2-17^2

$$( \frac { 85 } { 3 } ) ^ { 2 } - 17 ^ { 2 }$$

Evaluate

$$\frac{4624}{9}\approx 513.777777778$$

Solution Steps

Calculate \frac{85}{3} to the power of 2 and get \frac{7225}{9}.

$$\frac{7225}{9}-17^{2}$$

Calculate 17 to the power of 2 and get 289.

$$\frac{7225}{9}-289$$

Convert 289 to fraction \frac{2601}{9}.

$$\frac{7225}{9}-\frac{2601}{9}$$

Since \frac{7225}{9} and \frac{2601}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7225-2601}{9}$$

Subtract 2601 from 7225 to get 4624.

$$\frac{4624}{9}$$

Factor

$$\frac{2 ^ {4} \cdot 17 ^ {2}}{3 ^ {2}} = 513\frac{7}{9} = 513.7777777777778$$