Solve 250-[(6+4)-(3-1)+2]+216-[(8+3)-(12-10)]

$$250 - [ ( 6 + 4 ) - ( 3 - 1 ) + 2 ] + 216 - [ ( 8 + 3 ) - ( 12 - 10 ) ]$$

Evaluate

$$447$$

Solution Steps

Add 6 and 4 to get 10.

$$250-\left(10-\left(3-1\right)+2\right)+216-\left(8+3-\left(12-10\right)\right)$$

Subtract 1 from 3 to get 2.

$$250-\left(10-2+2\right)+216-\left(8+3-\left(12-10\right)\right)$$

Subtract 2 from 10 to get 8.

$$250-\left(8+2\right)+216-\left(8+3-\left(12-10\right)\right)$$

Add 8 and 2 to get 10.

$$250-10+216-\left(8+3-\left(12-10\right)\right)$$

Subtract 10 from 250 to get 240.

$$240+216-\left(8+3-\left(12-10\right)\right)$$

Add 240 and 216 to get 456.

$$456-\left(8+3-\left(12-10\right)\right)$$

Add 8 and 3 to get 11.

$$456-\left(11-\left(12-10\right)\right)$$

Subtract 10 from 12 to get 2.

$$456-\left(11-2\right)$$

Subtract 2 from 11 to get 9.

$$456-9$$

Subtract 9 from 456 to get 447.

$$447$$

Factor

$$3\times 149$$