SOLUTION: I need help with one problem using the distributive property. (4y+3)(y²+3y+1)

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Question 24349: I need help with one problem using the distributive property.
(4y+3)(y²+3y+1)
Answer by askmemath(368) About Me  (Show Source):
You can put this solution on YOUR website!
Distributive property can be explained as follows
Consider a term a%28b%2Bc%29=+ab%2Bac
Similarly %28a%2Bb%29%28c%2Bd%29 = ac%2Bad%2Bbc%2Bbd
Now your problem (4y+3)(y²+3y+1) becomes
4y%5E3+%2B12y%5E2+%2B4y+%2B+3y%5E2+%2B9y+%2B3
Adding all the like terms i.e all terms that have co-efficient y%5E2 and y
4y%5E3+%2B+15y%5E2+%2B+13y+%2B+3