Question

Find the LCD of$\frac{2}{x^2-x-12},\frac{1}{x^2-16}$

Short answer

The LCD of the expression is$[x-4]$.

Step-by-step solution

Step 1. The Given information is ,

The given expressions are ,$\frac{2}{x^2-x-12},\frac{1}{x^2-16}$

Simplify the expression separately ,

Factor of the expression$$\begin{gathered} \left[x^2-x-12\right]=\left[x+3\right]\left[x-4\right] \\ \left[x^2-16\right]=\left[x+4\right]\left[x-4\right] \end{gathered}$$

The LCD of the expression is$\left[x-4\right]$.