Solve [5(-1)-4][3(-1)-1]/[2(-1)-1][(-1)^2-(-1)+1]

$$\frac { [ 5 ( - 1 ) - 4 ] [ 3 ( - 1 ) - 1 ] } { [ 2 ( - 1 ) - 1 ] [ ( - 1 ) ^ { 2 } - ( - 1 ) + 1 ] }$$

Evaluate

$$-4$$

Solution Steps

Multiply 5 and -1 to get -5.

$$\frac{\left(-5-4\right)\left(3\left(-1\right)-1\right)}{\left(2\left(-1\right)-1\right)\left(\left(-1\right)^{2}-\left(-1\right)+1\right)}$$

Subtract 4 from -5 to get -9.

$$\frac{-9\left(3\left(-1\right)-1\right)}{\left(2\left(-1\right)-1\right)\left(\left(-1\right)^{2}-\left(-1\right)+1\right)}$$

Multiply 3 and -1 to get -3.

$$\frac{-9\left(-3-1\right)}{\left(2\left(-1\right)-1\right)\left(\left(-1\right)^{2}-\left(-1\right)+1\right)}$$

Subtract 1 from -3 to get -4.

$$\frac{-9\left(-4\right)}{\left(2\left(-1\right)-1\right)\left(\left(-1\right)^{2}-\left(-1\right)+1\right)}$$

Multiply -9 and -4 to get 36.

$$\frac{36}{\left(2\left(-1\right)-1\right)\left(\left(-1\right)^{2}-\left(-1\right)+1\right)}$$

Multiply 2 and -1 to get -2.

$$\frac{36}{\left(-2-1\right)\left(\left(-1\right)^{2}-\left(-1\right)+1\right)}$$

Subtract 1 from -2 to get -3.

$$\frac{36}{-3\left(\left(-1\right)^{2}-\left(-1\right)+1\right)}$$

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

$$\frac{36}{-3\left(1-\left(-1\right)+1\right)}$$

The opposite of -1 is 1.

$$\frac{36}{-3\left(1+1+1\right)}$$

Add 1 and 1 to get 2.

$$\frac{36}{-3\left(2+1\right)}$$

Add 2 and 1 to get 3.

$$\frac{36}{-3\times 3}$$

Multiply -3 and 3 to get -9.

$$\frac{36}{-9}$$

Divide 36 by -9 to get -4.

$$-4$$

Factor

$$-4$$