Solve left(66*62-34*38right)^2/104*96*50

$$\frac{ { \left(66 \times 62-34 \times 38 \right) }^{ 2 } }{ 104 \times 96 \times 50 }$$

Evaluate

$$\frac{1225}{78}\approx 15.705128205$$

Solution Steps

Multiply 66 and 62 to get 4092.

$$\frac{\left(4092-34\times 38\right)^{2}}{104\times 96\times 50}$$

Multiply 34 and 38 to get 1292.

$$\frac{\left(4092-1292\right)^{2}}{104\times 96\times 50}$$

Subtract 1292 from 4092 to get 2800.

$$\frac{2800^{2}}{104\times 96\times 50}$$

Calculate 2800 to the power of 2 and get 7840000.

$$\frac{7840000}{104\times 96\times 50}$$

Multiply 104 and 96 to get 9984.

$$\frac{7840000}{9984\times 50}$$

Multiply 9984 and 50 to get 499200.

$$\frac{7840000}{499200}$$

Reduce the fraction \frac{7840000}{499200} to lowest terms by extracting and canceling out 6400.

$$\frac{1225}{78}$$

Factor

$$\frac{5 ^ {2} \cdot 7 ^ {2}}{2 \cdot 3 \cdot 13} = 15\frac{55}{78} = 15.705128205128204$$