Solve 8*(-3)^2-3*8*(-4)^2+5*(-3)*(-4)

$$8 \cdot ( - 3 ) ^ { 2 } - 3 \cdot 8 \cdot ( - 4 ) ^ { 2 } + 5 \cdot ( - 3 ) \cdot ( - 4 )$$

Evaluate

$$-252$$

Solution Steps

Calculate -3 to the power of 2 and get 9.

$$8\times 9-3\times 8\left(-4\right)^{2}+5\left(-3\right)\left(-4\right)$$

Multiply 8 and 9 to get 72.

$$72-3\times 8\left(-4\right)^{2}+5\left(-3\right)\left(-4\right)$$

Multiply 3 and 8 to get 24.

$$72-24\left(-4\right)^{2}+5\left(-3\right)\left(-4\right)$$

Calculate -4 to the power of 2 and get 16.

$$72-24\times 16+5\left(-3\right)\left(-4\right)$$

Multiply 24 and 16 to get 384.

$$72-384+5\left(-3\right)\left(-4\right)$$

Subtract 384 from 72 to get -312.

$$-312+5\left(-3\right)\left(-4\right)$$

Multiply 5 and -3 to get -15.

$$-312-15\left(-4\right)$$

Multiply -15 and -4 to get 60.

$$-312+60$$

Add -312 and 60 to get -252.

$$-252$$

Factor

$$-252$$