Solve {l}{(a+2)(a-2)*a^2-2a+2a}{(a-2)^2}{(a+2)^2}

$$\left. \begin{array} { l } { ( a + 2 ) ( a - 2 ) \cdot a ^ { 2 } - 2 a + 2 a } \\ { ( a - 2 ) ^ { 2 } } \\ { ( a + 2 ) ^ { 2 } } \end{array} \right.$$

Least Common Multiple

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

Solution Steps

Factor the expressions that are not already factored.

$$a^{4}-4a^{2}=\left(a-2\right)\left(a+2\right)a^{2}$$

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

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

Expand the expression.

$$a^{6}-8a^{4}+16a^{2}$$

Evaluate

$$a^{2}\left(a^{2}-4\right),\ \left(a-2\right)^{2},\ \left(a+2\right)^{2}$$