Solve 4(1)^3(-2)(-1)^2-3(1)(-2)^3(-1)

$$4 ( 1 ) ^ { 3 } ( - 2 ) ( - 1 ) ^ { 2 } - 3 ( 1 ) ( - 2 ) ^ { 3 } ( - 1 )$$

Evaluate

$$-32$$

Solution Steps

Calculate 1 to the power of 3 and get 1.

$$4\times 1\left(-2\right)\left(-1\right)^{2}-3\times 1\left(-2\right)^{3}\left(-1\right)$$

Multiply 4 and 1 to get 4.

$$4\left(-2\right)\left(-1\right)^{2}-3\times 1\left(-2\right)^{3}\left(-1\right)$$

Multiply 4 and -2 to get -8.

$$-8\left(-1\right)^{2}-3\times 1\left(-2\right)^{3}\left(-1\right)$$

Calculate -1 to the power of 2 and get 1.

$$-8-3\times 1\left(-2\right)^{3}\left(-1\right)$$

Multiply 3 and 1 to get 3.

$$-8-3\left(-2\right)^{3}\left(-1\right)$$

Calculate -2 to the power of 3 and get -8.

$$-8-3\left(-8\right)\left(-1\right)$$

Multiply 3 and -8 to get -24.

$$-8-\left(-24\left(-1\right)\right)$$

Multiply -24 and -1 to get 24.

$$-8-24$$

Subtract 24 from -8 to get -32.

$$-32$$

Factor

$$-32$$