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

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

Least Common Multiple

$$-\left(x^{2}-1\right)\left(a^{2}-9b^{2}\right)$$

Solution Steps

Factor the expressions that are not already factored.

$$1-x^{2}=\left(x-1\right)\left(-x-1\right) a^{2}-9b^{2}=\left(a-3b\right)\left(a+3b\right)$$

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

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

Expand the expression.

$$9b^{2}x^{2}-a^{2}x^{2}-9b^{2}+a^{2}$$

Evaluate

$$1-x^{2},\ a^{2}-9b^{2}$$