SOLUTION: (14y + 8y(2) +y(3) +12) (6 + y)

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Question 148049This question is from textbook Elementary and Intermediate Algebra
: (14y + 8y(2) +y(3) +12) (6 + y) This question is from textbook Elementary and Intermediate Algebra

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%2814y+%2B+8y%5E2+%2By%5E3+%2B12%29%286+%2B+y%29+ Start with the given expression.


%286%2By%29%28y%5E3%2B8y%5E2%2B14y%2B12%29 Rearrange the terms.


6%28y%5E3%2B8y%5E2%2B14y%2B12%29%2By%28y%5E3%2B8y%5E2%2B14y%2B12%29 Expand.


Distribute.


6%2Ay%5E3%2B48%2Ay%5E2%2B84%2Ay%2B72%2By%5E4%2B8%2Ay%5E3%2B14%2Ay%5E2%2B12%2Ay Multiply.


y%5E4%2B14%2Ay%5E3%2B62%2Ay%5E2%2B96%2Ay%2B72 Now combine like terms.


So %2814y+%2B+8y%5E2+%2By%5E3+%2B12%29%286+%2B+y%29 expands to y%5E4%2B14%2Ay%5E3%2B62%2Ay%5E2%2B96%2Ay%2B72.


In other words, .