Solve 2*314*4*2*314(15-4)+4*314^2*left(15-4right)^2/-2

$$2 \times 314 \times 4 \times \frac{ 2 \times 314(15-4)+4 \times { 314 }^{ 2 } \times { \left(15-4 \right) }^{ 2 } }{ -2 }$$

Evaluate

$$-59945579232$$

Solution Steps

Multiply 2 and 314 to get 628.

$$628\times 4\times \frac{2\times 314\left(15-4\right)+4\times 314^{2}\left(15-4\right)^{2}}{-2}$$

Multiply 628 and 4 to get 2512.

$$2512\times \frac{2\times 314\left(15-4\right)+4\times 314^{2}\left(15-4\right)^{2}}{-2}$$

Multiply 2 and 314 to get 628.

$$2512\times \frac{628\left(15-4\right)+4\times 314^{2}\left(15-4\right)^{2}}{-2}$$

Subtract 4 from 15 to get 11.

$$2512\times \frac{628\times 11+4\times 314^{2}\left(15-4\right)^{2}}{-2}$$

Multiply 628 and 11 to get 6908.

$$2512\times \frac{6908+4\times 314^{2}\left(15-4\right)^{2}}{-2}$$

Calculate 314 to the power of 2 and get 98596.

$$2512\times \frac{6908+4\times 98596\left(15-4\right)^{2}}{-2}$$

Multiply 4 and 98596 to get 394384.

$$2512\times \frac{6908+394384\left(15-4\right)^{2}}{-2}$$

Subtract 4 from 15 to get 11.

$$2512\times \frac{6908+394384\times 11^{2}}{-2}$$

Calculate 11 to the power of 2 and get 121.

$$2512\times \frac{6908+394384\times 121}{-2}$$

Multiply 394384 and 121 to get 47720464.

$$2512\times \frac{6908+47720464}{-2}$$

Add 6908 and 47720464 to get 47727372.

$$2512\times \frac{47727372}{-2}$$

Divide 47727372 by -2 to get -23863686.

$$2512\left(-23863686\right)$$

Multiply 2512 and -23863686 to get -59945579232.

$$-59945579232$$

Factor

$$-59945579232$$