Solve (-21)(x-3)(x^2-3x+2)/(-24)

$$\frac { ( - 21 ) ( x - 3 ) ( x ^ { 2 } - 3 x + 2 ) } { ( - 24 ) }$$

Evaluate

$$\frac{7\left(x-3\right)\left(x-2\right)\left(x-1\right)}{8}$$

Solution Steps

Use the distributive property to multiply -21 by x-3.

$$\frac{\left(-21x+63\right)\left(x^{2}-3x+2\right)}{-24}$$

Use the distributive property to multiply -21x+63 by x^{2}-3x+2 and combine like terms.

$$\frac{-21x^{3}+126x^{2}-231x+126}{-24}$$

Expand

$$\frac{7x^{3}}{8}-\frac{21x^{2}}{4}+\frac{77x}{8}-\frac{21}{4}$$

Solution Steps

Use the distributive property to multiply -21 by x-3.

$$\frac{\left(-21x+63\right)\left(x^{2}-3x+2\right)}{-24}$$

Use the distributive property to multiply -21x+63 by x^{2}-3x+2 and combine like terms.

$$\frac{-21x^{3}+126x^{2}-231x+126}{-24}$$