Solve left(42*35-37*49right)^2*(42+35+37+49)/79*72*84*91

$$\frac{ { \left(42 \times 35-37 \times 49 \right) }^{ 2 } \times (42+35+37+49) }{ 79 \times 72 \times 84 \times 91 }$$

Evaluate

$$\frac{391363}{887328}\approx 0.441057873$$

Solution Steps

Multiply 42 and 35 to get 1470.

$$\frac{\left(1470-37\times 49\right)^{2}\left(42+35+37+49\right)}{79\times 72\times 84\times 91}$$

Multiply 37 and 49 to get 1813.

$$\frac{\left(1470-1813\right)^{2}\left(42+35+37+49\right)}{79\times 72\times 84\times 91}$$

Subtract 1813 from 1470 to get -343.

$$\frac{\left(-343\right)^{2}\left(42+35+37+49\right)}{79\times 72\times 84\times 91}$$

Calculate -343 to the power of 2 and get 117649.

$$\frac{117649\left(42+35+37+49\right)}{79\times 72\times 84\times 91}$$

Add 42 and 35 to get 77.

$$\frac{117649\left(77+37+49\right)}{79\times 72\times 84\times 91}$$

Add 77 and 37 to get 114.

$$\frac{117649\left(114+49\right)}{79\times 72\times 84\times 91}$$

Add 114 and 49 to get 163.

$$\frac{117649\times 163}{79\times 72\times 84\times 91}$$

Multiply 117649 and 163 to get 19176787.

$$\frac{19176787}{79\times 72\times 84\times 91}$$

Multiply 79 and 72 to get 5688.

$$\frac{19176787}{5688\times 84\times 91}$$

Multiply 5688 and 84 to get 477792.

$$\frac{19176787}{477792\times 91}$$

Multiply 477792 and 91 to get 43479072.

$$\frac{19176787}{43479072}$$

Reduce the fraction \frac{19176787}{43479072} to lowest terms by extracting and canceling out 49.

$$\frac{391363}{887328}$$

Factor

$$\frac{7 ^ {4} \cdot 163}{2 ^ {5} \cdot 3 ^ {3} \cdot 13 \cdot 79} = 0.44105787262432833$$