Solve {l}{15a^2-b^2}{21c^2-x^2}

$$\left. \begin{array} { l } { 15 a ^ { 2 } - b ^ { 2 } } \\ { 21 c ^ { 2 } - x ^ { 2 } } \end{array} \right.$$

Least Common Multiple

$$\left(15a^{2}-b^{2}\right)\left(21c^{2}-x^{2}\right)$$

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.

$$\left(15a^{2}-b^{2}\right)\left(21c^{2}-x^{2}\right)$$

Expand the expression.

$$b^{2}x^{2}-15a^{2}x^{2}+315a^{2}c^{2}-21b^{2}c^{2}$$

Evaluate

$$15a^{2}-b^{2},\ 21c^{2}-x^{2}$$