Solve (-5+7)^2-(-12+9)^2-[-4(-4)*(-5+4)]^2=

$$( - 5 + 7 ) ^ { 2 } - ( - 12 + 9 ) ^ { 2 } - [ - 4 ( - 4 ) \cdot ( - 5 + 4 ) ] ^ { 2 } =$$

Evaluate

$$-261$$

Solution Steps

Add -5 and 7 to get 2.

$$2^{2}-\left(-12+9\right)^{2}-\left(-4\left(-4\right)\left(-5+4\right)\right)^{2}$$

Calculate 2 to the power of 2 and get 4.

$$4-\left(-12+9\right)^{2}-\left(-4\left(-4\right)\left(-5+4\right)\right)^{2}$$

Add -12 and 9 to get -3.

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

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

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

Subtract 9 from 4 to get -5.

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

Multiply -4 and -4 to get 16.

$$-5-\left(16\left(-5+4\right)\right)^{2}$$

Add -5 and 4 to get -1.

$$-5-\left(16\left(-1\right)\right)^{2}$$

Multiply 16 and -1 to get -16.

$$-5-\left(-16\right)^{2}$$

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

$$-5-256$$

Subtract 256 from -5 to get -261.

$$-261$$

Factor

$$-261$$