Solve 179^2-121^2/935^2-65^2

$$\frac{ { 179 }^{ 2 } - { 121 }^{ 2 } }{ { 935 }^{ 2 } - { 65 }^{ 2 } }$$

Evaluate

$$\frac{1}{50}=0.02$$

Solution Steps

Calculate 179 to the power of 2 and get 32041.

$$\frac{32041-121^{2}}{935^{2}-65^{2}}$$

Calculate 121 to the power of 2 and get 14641.

$$\frac{32041-14641}{935^{2}-65^{2}}$$

Subtract 14641 from 32041 to get 17400.

$$\frac{17400}{935^{2}-65^{2}}$$

Calculate 935 to the power of 2 and get 874225.

$$\frac{17400}{874225-65^{2}}$$

Calculate 65 to the power of 2 and get 4225.

$$\frac{17400}{874225-4225}$$

Subtract 4225 from 874225 to get 870000.

$$\frac{17400}{870000}$$

Reduce the fraction \frac{17400}{870000} to lowest terms by extracting and canceling out 17400.

$$\frac{1}{50}$$

Factor

$$\frac{1}{2 \cdot 5 ^ {2}} = 0.02$$