SOLUTION: (x+3y) (x-y)

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Question 608140: (x+3y) (x-y)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28x%2B3y%29%28x-y%29 Start with the given expression.


Now let's FOIL the expression.


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


%28highlight%28x%29%2B3y%29%28highlight%28x%29-y%29 Multiply the First terms:%28x%29%2A%28x%29=x%5E2.


%28highlight%28x%29%2B3y%29%28x%2Bhighlight%28-y%29%29 Multiply the Outer terms:%28x%29%2A%28-y%29=-y%2Ax.


%28x%2Bhighlight%283y%29%29%28highlight%28x%29-y%29 Multiply the Inner terms:%283%2Ay%29%2A%28x%29=3%2Ay%2Ax.


%28x%2Bhighlight%283y%29%29%28x%2Bhighlight%28-y%29%29 Multiply the Last terms:%283%2Ay%29%2A%28-y%29=-3%2Ay%5E2.


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So we have the terms: x%5E2, -y%2Ax, 3%2Ay%2Ax, -3%2Ay%5E2


x%5E2-y%2Ax%2B3%2Ay%2Ax-3%2Ay%5E2 Now add every term listed above to make a single expression.


x%5E2%2B2yx-3y%5E2 Now combine like terms.


So %28x%2B3y%29%28x-y%29 FOILs to x%5E2%2B2yx-3y%5E2.


In other words, %28x%2B3y%29%28x-y%29=x%5E2%2B2yx-3y%5E2.

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