SOLUTION: How do i solve this: Factor: a^2+a+3a+3

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Question 144974This question is from textbook Elementary and Intermediate Algebra for college students
: How do i solve this:
Factor:
a^2+a+3a+3This question is from textbook Elementary and Intermediate Algebra for college students

Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!

a%5E2%2Ba%2B3a%2B3 Start with the given expression

%28a%5E2%2Ba%29%2B%283a%2B3%29 Group like terms


a%28a%2B1%29%2B3%28a%2B1%29 Factor out the GCF a out of the first group. Factor out the GCF 3 out of the second group


%28a%2B3%29%28a%2B1%29 Since we have the common term a%2B1, we can combine like terms

So a%5E2%2Ba%2B3a%2B3 factors to %28a%2B3%29%28a%2B1%29