Solve {l}{(-2)*(-10)*(-4)+(-2)*(-12)*0}{+(-7)*(-3)*(-2)-(-7)*(-2)*(-9)}{-(-2)*(-3)*(-12)}

$$\left. \begin{array} { l } { ( - 2 ) \times ( - 10 ) \times ( - 4 ) + ( - 2 ) \times ( - 12 ) \times 0 } \\ { + ( - 7 ) \times ( - 3 ) \times ( - 2 ) - ( - 7 ) \times ( - 2 ) \times ( - 9 ) } \\ { - ( - 2 ) \times ( - 3 ) \times ( - 12 ) } \end{array} \right.$$

Evaluate

$$76$$

Solution Steps

Multiply -2 and -10 to get 20. Multiply -2 and -12 to get 24. Multiply -7 and -3 to get 21.

$$20\left(-4\right)+24\times 0+21\left(-2\right)-\left(-7\left(-2\right)\left(-9\right)\right)-\left(-2\left(-3\right)\left(-12\right)\right)$$

Multiply 20 and -4 to get -80.

$$-80+24\times 0+21\left(-2\right)-\left(-7\left(-2\right)\left(-9\right)\right)-\left(-2\left(-3\right)\left(-12\right)\right)$$

Multiply 24 and 0 to get 0.

$$-80+0+21\left(-2\right)-\left(-7\left(-2\right)\left(-9\right)\right)-\left(-2\left(-3\right)\left(-12\right)\right)$$

Add -80 and 0 to get -80.

$$-80+21\left(-2\right)-\left(-7\left(-2\right)\left(-9\right)\right)-\left(-2\left(-3\right)\left(-12\right)\right)$$

Multiply 21 and -2 to get -42.

$$-80-42-\left(-7\left(-2\right)\left(-9\right)\right)-\left(-2\left(-3\right)\left(-12\right)\right)$$

Subtract 42 from -80 to get -122.

$$-122-\left(-7\left(-2\right)\left(-9\right)\right)-\left(-2\left(-3\right)\left(-12\right)\right)$$

Multiply -7 and -2 to get 14.

$$-122-14\left(-9\right)-\left(-2\left(-3\right)\left(-12\right)\right)$$

Multiply 14 and -9 to get -126.

$$-122-\left(-126\right)-\left(-2\left(-3\right)\left(-12\right)\right)$$

The opposite of -126 is 126.

$$-122+126-\left(-2\left(-3\right)\left(-12\right)\right)$$

Add -122 and 126 to get 4.

$$4-\left(-2\left(-3\right)\left(-12\right)\right)$$

Multiply -2 and -3 to get 6.

$$4-6\left(-12\right)$$

Multiply 6 and -12 to get -72.

$$4-\left(-72\right)$$

The opposite of -72 is 72.

$$4+72$$

Add 4 and 72 to get 76.

$$76$$

Factor

$$2^{2}\times 19$$