Q. 239 - Intermediate Algebra

Question

In the following exercises, factor completely.   

$8m^2-32$

Step-by-Step Solution

Answer

The required factors are $8(m-2)(m+2)$

Step 1. Given Information

The given expression is $8m^2-32$

Step 2. Calculation

We will find the factors by first take the common factor out and then simplify using the property.

$$\begin{gathered} 8m^2-32=8(m^2-4) \\ =8(m^2-2^2) \\ =8(m-2)(m+2) \end{gathered}$$

Step 3. Check

We will verify the factors by multiplying the factors.

$$\begin{gathered} 8(m-2)(m+2)=8(m^2-2^2) \\ =8(m^2-4) \\ =8m^2-32 \end{gathered}$$