Solve {l}{(x+1)^2-4(x+1)^3}{2(5-4+x)}

$$\left. \begin{array} { l } { ( x + 1 ) ^ { 2 } - 4 ( x + 1 ) ^ { 3 } } \\ { 2 ( 5 - 4 + x ) } \end{array} \right.$$

Least Common Multiple

$$2\left(4x+3\right)\left(x+1\right)^{2}$$

Solution Steps

Factor the expressions that are not already factored.

$$2+2x=2\left(x+1\right)$$

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

$$2\left(4x+3\right)\left(x+1\right)^{2}$$

Expand the expression.

$$8x^{3}+22x^{2}+20x+6$$

Evaluate

$$-\left(4x+3\right)\left(x+1\right)^{2},\ 2\left(x+1\right)$$