Solve 343*343*343-113*113*113div343*343+343*113+113*113

$$343 \times 343 \times 343-113 \times 113 \times 113 \div 343 \times 343+343 \times 113+113 \times 113$$

Evaluate

$$38962238$$

Solution Steps

Multiply 343 and 113 to get 38759. Multiply 113 and 113 to get 12769.

$$343\times 343\times 343-\frac{113\times 113\times 113}{343}\times 343+38759+12769$$

Multiply 343 and 343 to get 117649.

$$117649\times 343-\frac{113\times 113\times 113}{343}\times 343+38759+12769$$

Multiply 117649 and 343 to get 40353607.

$$40353607-\frac{113\times 113\times 113}{343}\times 343+38759+12769$$

Multiply 113 and 113 to get 12769.

$$40353607-\frac{12769\times 113}{343}\times 343+38759+12769$$

Multiply 12769 and 113 to get 1442897.

$$40353607-\frac{1442897}{343}\times 343+38759+12769$$

Cancel out 343 and 343.

$$40353607-1442897+38759+12769$$

Subtract 1442897 from 40353607 to get 38910710.

$$38910710+38759+12769$$

Add 38910710 and 38759 to get 38949469.

$$38949469+12769$$

Add 38949469 and 12769 to get 38962238.

$$38962238$$

Factor

$$2\times 7\times 2783017$$