SOLUTION: Multiply and Show Steps: (2x-1)(2x^2-3x+2)

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Question 180716: Multiply and Show Steps:
(2x-1)(2x^2-3x+2)
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
%282x-1%29%282x%5E2-3x%2B2%29 Start with the given expression.


2x%282x%5E2-3x%2B2%29-1%282x%5E2-3x%2B2%29 Expand. Note: %28a%2Bb%29%28c%2Bd%2Be%29=a%28c%2Bd%2Be%29%2Bb%28c%2Bd%2Be%29


%282x%29%2A%282x%5E2%29%2B%282x%29%2A%28-3x%29%2B%282x%29%2A%282%29%2B%28-1%29%2A%282x%5E2%29%2B%28-1%29%2A%28-3x%29%2B%28-1%29%2A%282%29 Distribute.


4%2Ax%5E3-6%2Ax%5E2%2B4%2Ax-2%2Ax%5E2%2B3%2Ax-2 Multiply.


4%2Ax%5E3-8%2Ax%5E2%2B7%2Ax-2 Now combine like terms.


So %282x-1%29%282x%5E2-3x%2B2%29 expands to 4%2Ax%5E3-8%2Ax%5E2%2B7%2Ax-2.


In other words, %282x-1%29%282x%5E2-3x%2B2%29=4%2Ax%5E3-8%2Ax%5E2%2B7%2Ax-2.