Solve {l}{2a^2-2b^2}{cx^2-cy^2}

$$\left. \begin{array} { l } { 2 a ^ { 2 } - 2 b ^ { 2 } } \\ { c x ^ { 2 } - c y ^ { 2 } } \end{array} \right.$$

Least Common Multiple

$$2c\left(a^{2}-b^{2}\right)\left(x^{2}-y^{2}\right)$$

Solution Steps

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

$$2c\left(a-b\right)\left(x-y\right)\left(a+b\right)\left(x+y\right)$$

Expand the expression.

$$2ca^{2}x^{2}-2cb^{2}x^{2}+2cb^{2}y^{2}-2ca^{2}y^{2}$$

Evaluate

$$2\left(a^{2}-b^{2}\right),\ c\left(x^{2}-y^{2}\right)$$