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Factor [tex]3v - 18[/tex].

Write your answer as a product with a whole number greater than 1.


Sagot :

To factor the expression [tex]\(3v - 18\)[/tex], let's break it down step-by-step:

1. Identify the Greatest Common Factor (GCF):
First, find the GCF of the terms in the expression. Here, the terms are [tex]\(3v\)[/tex] and [tex]\(-18\)[/tex].

- The coefficient of [tex]\(v\)[/tex] is 3.
- The constant term is [tex]\(-18\)[/tex].

The GCF of 3 and 18 is 3.

2. Factor Out the GCF:
We will factor out the GCF from each term of the expression.

- [tex]\(3v\)[/tex] divided by 3 is [tex]\(v\)[/tex].
- [tex]\(-18\)[/tex] divided by 3 is [tex]\(-6\)[/tex].

So, we can write the expression as:
[tex]\[ 3(v) - 3(6) \][/tex]

3. Write the Expression in Factored Form:
Now, combine the terms inside the parenthesis with the GCF outside:
[tex]\[ 3(v - 6) \][/tex]

So, the factored form of the expression [tex]\(3v - 18\)[/tex] is [tex]\(\boxed{3(v - 6)}\)[/tex].