Solve -12^2-3*(11^2-((-16^2)+-14^2)

$${ -12 }^{ 2 } -3 \times ( { 11 }^{ 2 } -(( { -16 }^{ 2 } )+ { -14 }^{ 2 } )$$

Evaluate

$$1137$$

Solution Steps

Calculate -12 to the power of 2 and get 144.

$$144-3\left(11^{2}-\left(\left(-16\right)^{2}+\left(-14\right)^{2}\right)\right)$$

Calculate 11 to the power of 2 and get 121.

$$144-3\left(121-\left(\left(-16\right)^{2}+\left(-14\right)^{2}\right)\right)$$

Calculate -16 to the power of 2 and get 256.

$$144-3\left(121-\left(256+\left(-14\right)^{2}\right)\right)$$

Calculate -14 to the power of 2 and get 196.

$$144-3\left(121-\left(256+196\right)\right)$$

Add 256 and 196 to get 452.

$$144-3\left(121-452\right)$$

Subtract 452 from 121 to get -331.

$$144-3\left(-331\right)$$

Multiply 3 and -331 to get -993.

$$144-\left(-993\right)$$

The opposite of -993 is 993.

$$144+993$$

Add 144 and 993 to get 1137.

$$1137$$

Factor

$$3\times 379$$