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What is the completely factored form of 5a + 5?
A5(a+5)
Ba(5+5)
C5(a+1)
D5(5a+1)
Answer & Solution
Correct answer: C. 5(a+1)
1. Find the GCF of 5a and 5, which is 5.
2. Rewrite each term as a product using the GCF: 5a is 5 times a, and 5 is 5 times 1.
3. Factor using the Distributive Property in reverse to get 5(a + 1).
4. Check by multiplying: 5 times a plus 5 times 1 gives back 5a + 5.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 7 "Factoring", section 7.1 Greatest Common Factor and Factor by Grouping_
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