SOLUTION: Factor: 12y^3 + 16y^2 - 3y - 4

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Question 146888This question is from textbook
: Factor: 12y^3 + 16y^2 - 3y - 4 This question is from textbook

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

12y%5E3%2B16y%5E2-3y-4 Start with the given expression

%2812y%5E3%2B16y%5E2%29%2B%28-3y-4%29 Group like terms


4y%5E2%283y%2B4%29-1%283y%2B4%29 Factor out the GCF 4y%5E2 out of the first group. Factor out the GCF -1 out of the second group


%284y%5E2-1%29%283y%2B4%29 Since we have the common term 3y%2B4, we can combine like terms


%282y%2B1%29%282y-1%29%283y%2B4%29 Factor 4y%5E2-1 to get %282y%2B1%29%282y-1%29 by use of the difference of squares.



So 12y%5E3%2B16y%5E2-3y-4 factors to %282y%2B1%29%282y-1%29%283y%2B4%29