Solve {l}{(x+5)(x-5)}{(x-3y)(x+3y)}

$$\left. \begin{array} { l } { ( x + 5 ) ( x - 5 ) } \\ { ( x - 3 y ) ( x + 3 y ) } \end{array} \right.$$

Least Common Multiple

$$-\left(x^{2}-25\right)\left(x^{2}-9y^{2}\right)$$

Solution Steps

Factor the expressions that are not already factored.

$$x^{2}-25=\left(x-5\right)\left(x+5\right) x^{2}-9y^{2}=\left(x-3y\right)\left(x+3y\right)$$

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

$$-\left(x-5\right)\left(x+5\right)\left(x-3y\right)\left(x+3y\right)$$

Expand the expression.

$$-x^{4}+9x^{2}y^{2}+25x^{2}-225y^{2}$$

Evaluate

$$x^{2}-25,\ x^{2}-9y^{2}$$