SOLUTION: Multiply {{{(5x+8)(4x^2+3x+2)}}}

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Question 132146: Multiply %285x%2B8%29%284x%5E2%2B3x%2B2%29
Answer by jim_thompson5910(28595) About Me  (Show Source):
You can put this solution on YOUR website!

%285x%2B8%29%284x%5E2%2B3x%2B2%29 Start with the given expression



5x%284x%5E2%2B3x%2B2%29%2B8%284x%5E2%2B3x%2B2%29 Expand the expression. Remember something like %28a%2Bb%29%28c%2Bd%2Be%29 expands to a%28c%2Bd%2Be%29%2Bb%28c%2Bd%2Be%29


Distribute


20x%5E3%2B15x%5E2%2B10x%2B32x%5E2%2B24x%2B16 Multiply


47x%5E2%2B20x%5E3%2B34x%2B16 Combine like terms



20x%5E3%2B47x%5E2%2B34x%2B16 Now rearrange the terms in descending order


So %285x%2B8%29%284x%5E2%2B3x%2B2%29 expands and simplifies to 20x%5E3%2B47x%5E2%2B34x%2B16.

In other words, %285x%2B8%29%284x%5E2%2B3x%2B2%29=20x%5E3%2B47x%5E2%2B34x%2B16




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