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Factor.
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Q. Factor.
- Find Numbers: First, we need to find two numbers that multiply to and add up to .
- List Factors: Let's list the factors of : and , and .
- Identify Multiplication: Now, we see that and multiply to and add up to .
- Write Middle Term: So, we can write the middle term as .
- Rewrite Expression: Now, rewrite the expression with the new middle terms: .
- Factor by Grouping: Next, we factor by grouping. Group the first two terms and the last two terms: .
- Factor Common Factor: Factor out the common factor from each group: .
- Factor Out Common Factor: Now, we see that is a common factor, so we factor it out: .
- Check Solution: Check the solution by expanding: v + \(19)(v - ) = v^ - v + v - = v^ + v - .\
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