SOLUTION: Multiply. {{{(7x+7)(4x^2+3x+3)}}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Multiply. {{{(7x+7)(4x^2+3x+3)}}}      Log On


   



Question 197405: Multiply.
%287x%2B7%29%284x%5E2%2B3x%2B3%29

Found 2 solutions by jim_thompson5910, checkley77:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%287x%2B7%29%284x%5E2%2B3x%2B3%29 Start with the given expression.


7x%284x%5E2%2B3x%2B3%29%2B7%284x%5E2%2B3x%2B3%29 Expand.


Distribute.


28%2Ax%5E3%2B21%2Ax%5E2%2B21%2Ax%2B28%2Ax%5E2%2B21%2Ax%2B21 Multiply.


28%2Ax%5E3%2B49%2Ax%5E2%2B42%2Ax%2B21 Now combine like terms.


So %287x%2B7%29%284x%5E2%2B3x%2B3%29 expands to 28%2Ax%5E3%2B49%2Ax%5E2%2B42%2Ax%2B21.


In other words, %287x%2B7%29%284x%5E2%2B3x%2B3%29=28%2Ax%5E3%2B49%2Ax%5E2%2B42%2Ax%2B21.

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
4x^2+3x+3
7x+7
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28x^3+21x^2+21x+28x^2+21x+21
28x^3+49x^2+42x+21
7(4x^3+7x^2+6x+3) ans.