To factor the expression [tex]\( 4v - 8 \)[/tex], follow these steps:
1. Identify the greatest common divisor (GCD):
- Look at the coefficients of the terms in the expression. We have the coefficients [tex]\(4\)[/tex] and [tex]\(-8\)[/tex].
- The GCD of 4 and -8 is 4.
2. Factor out the GCD:
- Extract the GCD from each term in the expression. This means we write the expression as a product of the GCD and another factor.
- When we factor out 4 from [tex]\(4v\)[/tex], we get [tex]\(4v \div 4 = v\)[/tex].
- When we factor out 4 from [tex]\(-8\)[/tex], we get [tex]\(-8 \div 4 = -2\)[/tex].
3. Write the factored form:
- Combine the GCD and the simplified terms inside a parenthesis.
- Therefore, the expression [tex]\(4v - 8\)[/tex] can be written as [tex]\(4(v - 2)\)[/tex].
So, the factored expression is:
[tex]\[
4(v - 2)
\][/tex]
