Solve 102^2-100^2/52^2-50^2+200

$$\frac { 102 ^ { 2 } - 100 ^ { 2 } } { 52 ^ { 2 } - 50 ^ { 2 } + 200 }$$

Evaluate

$$1$$

Solution Steps

Calculate 102 to the power of 2 and get 10404.

$$\frac{10404-100^{2}}{52^{2}-50^{2}+200}$$

Calculate 100 to the power of 2 and get 10000.

$$\frac{10404-10000}{52^{2}-50^{2}+200}$$

Subtract 10000 from 10404 to get 404.

$$\frac{404}{52^{2}-50^{2}+200}$$

Calculate 52 to the power of 2 and get 2704.

$$\frac{404}{2704-50^{2}+200}$$

Calculate 50 to the power of 2 and get 2500.

$$\frac{404}{2704-2500+200}$$

Subtract 2500 from 2704 to get 204.

$$\frac{404}{204+200}$$

Add 204 and 200 to get 404.

$$\frac{404}{404}$$

Divide 404 by 404 to get 1.

$$1$$

Factor

$$1$$