SOLUTION: Find the following product: (y^2+4y-7)(y+3)

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Question 549784: Find the following product: (y^2+4y-7)(y+3)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28y%5E2%2B4y-7%29%28y%2B3%29 Start with the given expression.


y%5E2%28y%2B3%29%2B4y%28y%2B3%29-7%28y%2B3%29 Expand.


Distribute.


y%5E3%2B3y%5E2%2B4y%5E2%2B12y-7y-21 Multiply.


y%5E3%2B7y%5E2%2B5y-21 Now combine like terms.


So %28y%5E2%2B4y-7%29%28y%2B3%29 expands to y%5E3%2B7y%5E2%2B5y-21.


In other words, %28y%5E2%2B4y-7%29%28y%2B3%29=y%5E3%2B7y%5E2%2B5y-21.