Solve 100*(28*15-22*35)^2/50*50*63*37

$$\frac { 100 \times ( 28 \times 15 - 22 \times 35 ) ^ { 2 } } { 50 \times 50 \times 63 \times 37 }$$

Evaluate

$$\frac{700}{333}\approx 2.102102102$$

Solution Steps

Cancel out 2\times 50 in both numerator and denominator.

$$\frac{\left(15\times 28-22\times 35\right)^{2}}{25\times 37\times 63}$$

Multiply 15 and 28 to get 420.

$$\frac{\left(420-22\times 35\right)^{2}}{25\times 37\times 63}$$

Multiply 22 and 35 to get 770.

$$\frac{\left(420-770\right)^{2}}{25\times 37\times 63}$$

Subtract 770 from 420 to get -350.

$$\frac{\left(-350\right)^{2}}{25\times 37\times 63}$$

Calculate -350 to the power of 2 and get 122500.

$$\frac{122500}{25\times 37\times 63}$$

Multiply 25 and 37 to get 925.

$$\frac{122500}{925\times 63}$$

Multiply 925 and 63 to get 58275.

$$\frac{122500}{58275}$$

Reduce the fraction \frac{122500}{58275} to lowest terms by extracting and canceling out 175.

$$\frac{700}{333}$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {2} \cdot 7}{3 ^ {2} \cdot 37} = 2\frac{34}{333} = 2.1021021021021022$$