Solve {l}{x^2-16}{x^2-11x+28}

$$\left. \begin{array} { l } { x ^ { 2 } - 16 } \\ { x ^ { 2 } - 11 x + 28 } \end{array} \right.$$

Least Common Multiple

$$\left(x-7\right)\left(x^{2}-16\right)$$

Solution Steps

Factor the expressions that are not already factored.

$$x^{2}-16=\left(x-4\right)\left(x+4\right)$$

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

$$\left(x-7\right)\left(x-4\right)\left(x+4\right)$$

Expand the expression.

$$x^{3}-7x^{2}-16x+112$$

Evaluate

$$x^{2}-16,\ \left(x-7\right)\left(x-4\right)$$