Solve {l}{(2-lambda)(4-lambda)}{(-2-lambda)}

$$\left. \begin{array} { l } { ( 2 - \lambda ) ( 4 - \lambda ) } \\ { ( - 2 - \lambda ) } \end{array} \right.$$

Least Common Multiple

$$\left(\lambda -4\right)\left(\lambda ^{2}-4\right)$$

Solution Steps

Factor the expressions that are not already factored.

$$8-6\lambda +\lambda ^{2}=\left(\lambda -4\right)\left(\lambda -2\right)$$

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

$$\left(\lambda -4\right)\left(\lambda -2\right)\left(\lambda +2\right)$$

Expand the expression.

$$\lambda ^{3}-4\lambda ^{2}-4\lambda +16$$

Evaluate

$$\left(\lambda -4\right)\left(\lambda -2\right),\ -\lambda -2$$