Solve 38^2-17^2/72^2-16^2

$$\frac { 38 ^ { 2 } - 17 ^ { 2 } } { 72 ^ { 2 } - 16 ^ { 2 } }$$

Evaluate

$$\frac{15}{64}=0.234375$$

Solution Steps

Calculate 38 to the power of 2 and get 1444.

$$\frac{1444-17^{2}}{72^{2}-16^{2}}$$

Calculate 17 to the power of 2 and get 289.

$$\frac{1444-289}{72^{2}-16^{2}}$$

Subtract 289 from 1444 to get 1155.

$$\frac{1155}{72^{2}-16^{2}}$$

Calculate 72 to the power of 2 and get 5184.

$$\frac{1155}{5184-16^{2}}$$

Calculate 16 to the power of 2 and get 256.

$$\frac{1155}{5184-256}$$

Subtract 256 from 5184 to get 4928.

$$\frac{1155}{4928}$$

Reduce the fraction \frac{1155}{4928} to lowest terms by extracting and canceling out 77.

$$\frac{15}{64}$$

Factor

$$\frac{3 \cdot 5}{2 ^ {6}} = 0.234375$$