SOLUTION: Factor by grouping, if possible, and show me how to check... much appreciated 8a^3

SOLUTION: Factor by grouping, if possible, and show me how to check... much appreciated 8a^3 - 2a^2 + 12a � 3

Question 621901: Factor by grouping, if possible, and show me how to check... much appreciated
8a^3 - 2a^2 + 12a � 3

Found 2 solutions by jim_thompson5910, lenny460:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given expression

Group the terms in two pairs

Factor out the GCF out of the first group. Factor out the GCF out of the second group

Since we have the common term , we can combine like terms

So factors to

In other words,

Answer by lenny460(1073) (Show Source): You can put this solution on YOUR website!
Factor by Grouping:
8a^3 - 2a^2 + 12a - 3
(8a^3 - 2a^2) + (12a - 3)
Factor:
8a^3 - 2a^2 = 2a^2(4a - 1)
Factor:
12a - 3 = 3(4a - 1)
The Answer:
(2a^2 + 3)(4a - 1)
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