SOLUTION: What is the solution to (2t-2)(2t+2) ?

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Question 352374: What is the solution to (2t-2)(2t+2) ?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%282t-2%29%282t%2B2%29 Start with the given expression.


Now let's FOIL the expression.


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


%28highlight%282t%29-2%29%28highlight%282t%29%2B2%29 Multiply the First terms:%282%2At%29%2A%282%2At%29=4%2At%5E2.


%28highlight%282t%29-2%29%282t%2Bhighlight%282%29%29 Multiply the Outer terms:%282%2At%29%2A%282%29=4%2At.


%282t%2Bhighlight%28-2%29%29%28highlight%282t%29%2B2%29 Multiply the Inner terms:%28-2%29%2A%282%2At%29=-4%2At.


%282t%2Bhighlight%28-2%29%29%282t%2Bhighlight%282%29%29 Multiply the Last terms:%28-2%29%2A%282%29=-4.


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So we have the terms: 4%2At%5E2, 4%2At, -4%2At, -4


4%2At%5E2%2B4%2At-4%2At-4 Now add every term listed above to make a single expression.


4%2At%5E2-4 Now combine like terms.


So %282t-2%29%282t%2B2%29 FOILs to 4%2At%5E2-4.


In other words, %282t-2%29%282t%2B2%29=4%2At%5E2-4.


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim