Solve 38^2-37^2/13^2-12^2

$$\frac{ { 38 }^{ 2 } - { 37 }^{ 2 } }{ { 13 }^{ 2 } - { 12 }^{ 2 } }$$

Evaluate

$$3$$

Solution Steps

Calculate 38 to the power of 2 and get 1444.

$$\frac{1444-37^{2}}{13^{2}-12^{2}}$$

Calculate 37 to the power of 2 and get 1369.

$$\frac{1444-1369}{13^{2}-12^{2}}$$

Subtract 1369 from 1444 to get 75.

$$\frac{75}{13^{2}-12^{2}}$$

Calculate 13 to the power of 2 and get 169.

$$\frac{75}{169-12^{2}}$$

Calculate 12 to the power of 2 and get 144.

$$\frac{75}{169-144}$$

Subtract 144 from 169 to get 25.

$$\frac{75}{25}$$

Divide 75 by 25 to get 3.

$$3$$

Factor

$$3$$