Solve 13^2-(120/13)^2

$$13 ^ { 2 } - ( \frac { 120 } { 13 } ) ^ { 2 }$$

Evaluate

$$\frac{14161}{169}\approx 83.792899408$$

Solution Steps

Calculate 13 to the power of 2 and get 169.

$$169-\left(\frac{120}{13}\right)^{2}$$

Calculate \frac{120}{13} to the power of 2 and get \frac{14400}{169}.

$$169-\frac{14400}{169}$$

Convert 169 to fraction \frac{28561}{169}.

$$\frac{28561}{169}-\frac{14400}{169}$$

Since \frac{28561}{169} and \frac{14400}{169} have the same denominator, subtract them by subtracting their numerators.

$$\frac{28561-14400}{169}$$

Subtract 14400 from 28561 to get 14161.

$$\frac{14161}{169}$$

Factor

$$\frac{7 ^ {2} \cdot 17 ^ {2}}{13 ^ {2}} = 83\frac{134}{169} = 83.79289940828403$$