Solve {l}{x-1(x+2)(3-2x)-2(x+1)(x-2)(3-x)}{4x-11(1-x)}

$$\left. \begin{array} { l } { x - 1 ( x + 2 ) ( 3 - 2 x ) - 2 ( x + 1 ) ( x - 2 ) ( 3 - x ) } \\ { 4 x - 11 ( 1 - x ) } \end{array} \right.$$

Least Common Multiple

$$2\left(15x-11\right)\left(x^{3}-3x^{2}+2x+3\right)$$

Solution Steps

Factor the expressions that are not already factored.

$$2x^{3}-6x^{2}+4x+6=2\left(x^{3}-3x^{2}+2x+3\right)$$

Identify all the factors and their highest power in all expressions. Multiply the highest powers of these factors to get the least common multiple.

$$2\left(15x-11\right)\left(x^{3}-3x^{2}+2x+3\right)$$

Expand the expression.

$$30x^{4}-112x^{3}+126x^{2}+46x-66$$

Evaluate

$$2\left(x^{3}-3x^{2}+2x+3\right),\ 15x-11$$