Solve 3+(-4)(3+2(-4))-3^2/-4-5+(-4)^2

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

Evaluate

$$2$$

Solution Steps

Multiply 2 and -4 to get -8.

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

Subtract 8 from 3 to get -5.

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

Multiply -4 and -5 to get 20.

$$\frac{3+20-3^{2}}{-4-5+\left(-4\right)^{2}}$$

Add 3 and 20 to get 23.

$$\frac{23-3^{2}}{-4-5+\left(-4\right)^{2}}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{23-9}{-4-5+\left(-4\right)^{2}}$$

Subtract 9 from 23 to get 14.

$$\frac{14}{-4-5+\left(-4\right)^{2}}$$

Subtract 5 from -4 to get -9.

$$\frac{14}{-9+\left(-4\right)^{2}}$$

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

$$\frac{14}{-9+16}$$

Add -9 and 16 to get 7.

$$\frac{14}{7}$$

Divide 14 by 7 to get 2.

$$2$$

Factor

$$2$$