Solve 53^2-32^2/61^2-44^2

$$\frac { 53 ^ { 2 } - 32 ^ { 2 } } { 61 ^ { 2 } - 44 ^ { 2 } }$$

Evaluate

$$1$$

Solution Steps

Calculate 53 to the power of 2 and get 2809.

$$\frac{2809-32^{2}}{61^{2}-44^{2}}$$

Calculate 32 to the power of 2 and get 1024.

$$\frac{2809-1024}{61^{2}-44^{2}}$$

Subtract 1024 from 2809 to get 1785.

$$\frac{1785}{61^{2}-44^{2}}$$

Calculate 61 to the power of 2 and get 3721.

$$\frac{1785}{3721-44^{2}}$$

Calculate 44 to the power of 2 and get 1936.

$$\frac{1785}{3721-1936}$$

Subtract 1936 from 3721 to get 1785.

$$\frac{1785}{1785}$$

Divide 1785 by 1785 to get 1.

$$1$$

Factor

$$1$$