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

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

Least Common Multiple

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

Solution Steps

Factor the expressions that are not already factored.

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

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

$$3\left(a-2\right)\left(x-1\right)\left(a+2\right)\left(x+1\right)$$

Expand the expression.

$$3a^{2}x^{2}-12x^{2}-3a^{2}+12$$

Evaluate

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