Solve {l}{4p^2-9q^2}{49x^2-36}

$$\left. \begin{array} { l } { 4 p ^ { 2 } - 9 q ^ { 2 } } \\ { 49 x ^ { 2 } - 36 } \end{array} \right.$$

Least Common Multiple

$$-\left(49x^{2}-36\right)\left(4p^{2}-9q^{2}\right)$$

Solution Steps

Factor the expressions that are not already factored.

$$4p^{2}-9q^{2}=\left(2p-3q\right)\left(2p+3q\right) -36+49x^{2}=\left(7x-6\right)\left(7x+6\right)$$

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

$$\left(-7x-6\right)\left(7x-6\right)\left(2p-3q\right)\left(2p+3q\right)$$

Expand the expression.

$$441q^{2}x^{2}-196p^{2}x^{2}-324q^{2}+144p^{2}$$

Evaluate

$$4p^{2}-9q^{2},\ 49x^{2}-36$$