SOLUTION: (3x-2y)^2

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Question 555283: (3x-2y)^2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%283x-2y%29%5E2 Start with the given expression.


%283x-2y%29%283x-2y%29 Expand. Remember something like x%5E2=x%2Ax.


Now let's FOIL the expression.


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


%28highlight%283x%29-2y%29%28highlight%283x%29-2y%29 Multiply the First terms:%283%2Ax%29%2A%283%2Ax%29=9%2Ax%5E2.


%28highlight%283x%29-2y%29%283x%2Bhighlight%28-2y%29%29 Multiply the Outer terms:%283%2Ax%29%2A%28-2%2Ay%29=-6%2Ay%2Ax.


%283x%2Bhighlight%28-2y%29%29%28highlight%283x%29-2y%29 Multiply the Inner terms:%28-2%2Ay%29%2A%283%2Ax%29=-6%2Ay%2Ax.


%283x%2Bhighlight%28-2y%29%29%283x%2Bhighlight%28-2y%29%29 Multiply the Last terms:%28-2%2Ay%29%2A%28-2%2Ay%29=4%2Ay%5E2.


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So we have the terms: 9%2Ax%5E2, -6%2Ay%2Ax, -6%2Ay%2Ax, 4%2Ay%5E2


9%2Ax%5E2-6%2Ay%2Ax-6%2Ay%2Ax%2B4%2Ay%5E2 Now add every term listed above to make a single expression.


9x%5E2-12yx%2B4y%5E2 Now combine like terms.


So %283x-2y%29%5E2 FOILs to 9x%5E2-12yx%2B4y%5E2.


In other words, %283x-2y%29%5E2=9x%5E2-12yx%2B4y%5E2.

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Jim