Solve 123^2-57^2/72^2-27^2

$$\frac{ { 123 }^{ 2 } - { 57 }^{ 2 } }{ { 72 }^{ 2 } - { 27 }^{ 2 } }$$

Evaluate

$$\frac{8}{3}\approx 2.666666667$$

Solution Steps

Calculate 123 to the power of 2 and get 15129.

$$\frac{15129-57^{2}}{72^{2}-27^{2}}$$

Calculate 57 to the power of 2 and get 3249.

$$\frac{15129-3249}{72^{2}-27^{2}}$$

Subtract 3249 from 15129 to get 11880.

$$\frac{11880}{72^{2}-27^{2}}$$

Calculate 72 to the power of 2 and get 5184.

$$\frac{11880}{5184-27^{2}}$$

Calculate 27 to the power of 2 and get 729.

$$\frac{11880}{5184-729}$$

Subtract 729 from 5184 to get 4455.

$$\frac{11880}{4455}$$

Reduce the fraction \frac{11880}{4455} to lowest terms by extracting and canceling out 1485.

$$\frac{8}{3}$$

Factor

$$\frac{2 ^ {3}}{3} = 2\frac{2}{3} = 2.6666666666666665$$