SOLUTION: Multiply (1 + 2t)(1 - 3t^2)

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Question 542175: Multiply
(1 + 2t)(1 - 3t^2)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%281%2B2t%29%281-3t%5E2%29 Start with the given expression.


Now let's FOIL the expression.


Remember, when you FOIL an expression, you follow this procedure:


%28highlight%281%29%2B2t%29%28highlight%281%29-3t%5E2%29 Multiply the First terms:%281%29%2A%281%29=1.


%28highlight%281%29%2B2t%29%281%2Bhighlight%28-3t%5E2%29%29 Multiply the Outer terms:%281%29%2A%28-3%2At%5E2%29=-3%2At%5E2.


%281%2Bhighlight%282t%29%29%28highlight%281%29-3t%5E2%29 Multiply the Inner terms:%282%2At%29%2A%281%29=2%2At.


%281%2Bhighlight%282t%29%29%281%2Bhighlight%28-3t%5E2%29%29 Multiply the Last terms:%282%2At%29%2A%28-3%2At%5E2%29=-6%2At%5E3.


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So we have the terms: 1, -3%2At%5E2, 2%2At, -6%2At%5E3


1-3%2At%5E2%2B2%2At-6%2At%5E3 Now add every term listed above to make a single expression.


1-3t%5E2%2B2t-6t%5E3 Now combine like terms.


So %281%2B2t%29%281-3t%5E2%29 FOILs to 1-3t%5E2%2B2t-6t%5E3.


In other words, %281%2B2t%29%281-3t%5E2%29=1-3t%5E2%2B2t-6t%5E3.


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Jim