Solve 658*658*658-328*328*328/658*658+658*328+328*328=?

$$\frac { 658 \times 658 \times 658 - 328 \times 328 \times 328 } { 658 \times 658 + 658 \times 328 + 328 \times 328 } = ?$$

Evaluate

$$330$$

Solution Steps

Multiply 658 and 658 to get 432964.

$$\frac{432964\times 658-328\times 328\times 328}{658\times 658+658\times 328+328\times 328}$$

Multiply 432964 and 658 to get 284890312.

$$\frac{284890312-328\times 328\times 328}{658\times 658+658\times 328+328\times 328}$$

Multiply 328 and 328 to get 107584.

$$\frac{284890312-107584\times 328}{658\times 658+658\times 328+328\times 328}$$

Multiply 107584 and 328 to get 35287552.

$$\frac{284890312-35287552}{658\times 658+658\times 328+328\times 328}$$

Subtract 35287552 from 284890312 to get 249602760.

$$\frac{249602760}{658\times 658+658\times 328+328\times 328}$$

Multiply 658 and 658 to get 432964. Multiply 658 and 328 to get 215824. Multiply 328 and 328 to get 107584.

$$\frac{249602760}{432964+215824+107584}$$

Add 432964 and 215824 to get 648788.

$$\frac{249602760}{648788+107584}$$

Add 648788 and 107584 to get 756372.

$$\frac{249602760}{756372}$$

Divide 249602760 by 756372 to get 330.

$$330$$

Factor

$$2\times 3\times 5\times 11$$