Solve 98^2-58^2/75^2-35^2

$$\frac { 98 ^ { 2 } - 58 ^ { 2 } } { 75 ^ { 2 } - 35 ^ { 2 } }$$

Evaluate

$$\frac{78}{55}\approx 1.418181818$$

Solution Steps

Calculate 98 to the power of 2 and get 9604.

$$\frac{9604-58^{2}}{75^{2}-35^{2}}$$

Calculate 58 to the power of 2 and get 3364.

$$\frac{9604-3364}{75^{2}-35^{2}}$$

Subtract 3364 from 9604 to get 6240.

$$\frac{6240}{75^{2}-35^{2}}$$

Calculate 75 to the power of 2 and get 5625.

$$\frac{6240}{5625-35^{2}}$$

Calculate 35 to the power of 2 and get 1225.

$$\frac{6240}{5625-1225}$$

Subtract 1225 from 5625 to get 4400.

$$\frac{6240}{4400}$$

Reduce the fraction \frac{6240}{4400} to lowest terms by extracting and canceling out 80.

$$\frac{78}{55}$$

Factor

$$\frac{2 \cdot 3 \cdot 13}{5 \cdot 11} = 1\frac{23}{55} = 1.4181818181818182$$