Solve 200(60*35-40*65)^2/100*100*105*75

$$\frac { 200 ( 60 \times 35 - 40 \times 65 ) ^ { 2 } } { 100 \times 100 \times 105 \times 75 }$$

Evaluate

$$\frac{40}{63}\approx 0.634920635$$

Solution Steps

Cancel out 2\times 100 in both numerator and denominator.

$$\frac{\left(35\times 60-40\times 65\right)^{2}}{50\times 75\times 105}$$

Multiply 35 and 60 to get 2100.

$$\frac{\left(2100-40\times 65\right)^{2}}{50\times 75\times 105}$$

Multiply 40 and 65 to get 2600.

$$\frac{\left(2100-2600\right)^{2}}{50\times 75\times 105}$$

Subtract 2600 from 2100 to get -500.

$$\frac{\left(-500\right)^{2}}{50\times 75\times 105}$$

Calculate -500 to the power of 2 and get 250000.

$$\frac{250000}{50\times 75\times 105}$$

Multiply 50 and 75 to get 3750.

$$\frac{250000}{3750\times 105}$$

Multiply 3750 and 105 to get 393750.

$$\frac{250000}{393750}$$

Reduce the fraction \frac{250000}{393750} to lowest terms by extracting and canceling out 6250.

$$\frac{40}{63}$$

Factor

$$\frac{2 ^ {3} \cdot 5}{3 ^ {2} \cdot 7} = 0.6349206349206349$$