Solve {l}{text{14.}(x^2+6y)(x^2-6y)}{text{90}}

$$\left. \begin{array} { l } { \text { 14. } ( x ^ { 2 } + 6 y ) ( x ^ { 2 } - 6 y ) } \\ { \text { 90 } } \end{array} \right.$$

Least Common Multiple

$$-630\left(x^{4}-36y^{2}\right)$$

Solution Steps

Factor the expressions that are not already factored.

$$14x^{4}-504y^{2}=14\left(x^{2}-6y\right)\left(x^{2}+6y\right) 90=2\times 3^{2}\times 5$$

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

$$630\left(-x^{2}-6y\right)\left(x^{2}-6y\right)$$

Expand the expression.

$$-630x^{4}+22680y^{2}$$

Evaluate

$$14\left(x^{4}-36y^{2}\right),\ 90$$