Solve (4)(-3)-(-2)(1)(6)+(5)(-3)(-2)-(4)(-1)/(5)(-3)-(-6)(-2)+(-4)(5)(-1)+(2)(3)

$$\frac { ( 4 ) ( - 3 ) - ( - 2 ) ( 1 ) ( 6 ) + ( 5 ) ( - 3 ) ( - 2 ) - ( 4 ) ( - 1 ) } { ( 5 ) ( - 3 ) - ( - 6 ) ( - 2 ) + ( - 4 ) ( 5 ) ( - 1 ) + ( 2 ) ( 3 ) }$$

Evaluate

$$-34$$

Solution Steps

Multiply 4 and -3 to get -12.

$$\frac{-12-\left(-2\times 6\right)+5\left(-3\right)\left(-2\right)-4\left(-1\right)}{5\left(-3\right)-\left(-6\left(-2\right)\right)-4\times 5\left(-1\right)+2\times 3}$$

Multiply -2 and 6 to get -12.

$$\frac{-12-\left(-12\right)+5\left(-3\right)\left(-2\right)-4\left(-1\right)}{5\left(-3\right)-\left(-6\left(-2\right)\right)-4\times 5\left(-1\right)+2\times 3}$$

The opposite of -12 is 12.

$$\frac{-12+12+5\left(-3\right)\left(-2\right)-4\left(-1\right)}{5\left(-3\right)-\left(-6\left(-2\right)\right)-4\times 5\left(-1\right)+2\times 3}$$

Add -12 and 12 to get 0.

$$\frac{0+5\left(-3\right)\left(-2\right)-4\left(-1\right)}{5\left(-3\right)-\left(-6\left(-2\right)\right)-4\times 5\left(-1\right)+2\times 3}$$

Multiply 5 and -3 to get -15.

$$\frac{0-15\left(-2\right)-4\left(-1\right)}{5\left(-3\right)-\left(-6\left(-2\right)\right)-4\times 5\left(-1\right)+2\times 3}$$

Multiply -15 and -2 to get 30.

$$\frac{0+30-4\left(-1\right)}{5\left(-3\right)-\left(-6\left(-2\right)\right)-4\times 5\left(-1\right)+2\times 3}$$

Add 0 and 30 to get 30.

$$\frac{30-4\left(-1\right)}{5\left(-3\right)-\left(-6\left(-2\right)\right)-4\times 5\left(-1\right)+2\times 3}$$

Multiply 4 and -1 to get -4.

$$\frac{30-\left(-4\right)}{5\left(-3\right)-\left(-6\left(-2\right)\right)-4\times 5\left(-1\right)+2\times 3}$$

The opposite of -4 is 4.

$$\frac{30+4}{5\left(-3\right)-\left(-6\left(-2\right)\right)-4\times 5\left(-1\right)+2\times 3}$$

Add 30 and 4 to get 34.

$$\frac{34}{5\left(-3\right)-\left(-6\left(-2\right)\right)-4\times 5\left(-1\right)+2\times 3}$$

Multiply -4 and 5 to get -20. Multiply 2 and 3 to get 6.

$$\frac{34}{5\left(-3\right)-\left(-6\left(-2\right)\right)-20\left(-1\right)+6}$$

Multiply 5 and -3 to get -15.

$$\frac{34}{-15-\left(-6\left(-2\right)\right)-20\left(-1\right)+6}$$

Multiply -6 and -2 to get 12.

$$\frac{34}{-15-12-20\left(-1\right)+6}$$

Subtract 12 from -15 to get -27.

$$\frac{34}{-27-20\left(-1\right)+6}$$

Multiply -20 and -1 to get 20.

$$\frac{34}{-27+20+6}$$

Add -27 and 20 to get -7.

$$\frac{34}{-7+6}$$

Add -7 and 6 to get -1.

$$\frac{34}{-1}$$

Fraction \frac{34}{-1} can be rewritten as -34 by extracting the negative sign.

$$-34$$

Factor

$$-34$$