Solve 45^2-25^2/57^2-43^2

$$\frac{ { 45 }^{ 2 } - { 25 }^{ 2 } }{ { 57 }^{ 2 } - { 43 }^{ 2 } }$$

Evaluate

$$1$$

Solution Steps

Calculate 45 to the power of 2 and get 2025.

$$\frac{2025-25^{2}}{57^{2}-43^{2}}$$

Calculate 25 to the power of 2 and get 625.

$$\frac{2025-625}{57^{2}-43^{2}}$$

Subtract 625 from 2025 to get 1400.

$$\frac{1400}{57^{2}-43^{2}}$$

Calculate 57 to the power of 2 and get 3249.

$$\frac{1400}{3249-43^{2}}$$

Calculate 43 to the power of 2 and get 1849.

$$\frac{1400}{3249-1849}$$

Subtract 1849 from 3249 to get 1400.

$$\frac{1400}{1400}$$

Divide 1400 by 1400 to get 1.

$$1$$

Factor

$$1$$