SOLUTION: Multiply (xy-7)(xy-5)

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Question 490818: Multiply (xy-7)(xy-5)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28xy-7%29%28xy-5%29 Start with the given expression.


Now let's FOIL the expression.


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


%28highlight%28xy%29-7%29%28highlight%28xy%29-5%29 Multiply the First terms:%28xy%29%28xy%29=xy%5E2.


%28highlight%28xy%29-7%29%28xy%2Bhighlight%28-5%29%29 Multiply the Outer terms:%28xy%29%28-5%29=-5xy.


%28xy%2Bhighlight%28-7%29%29%28highlight%28xy%29-5%29 Multiply the Inner terms:%28-7%29%28xy%29=-7xy.


%28xy%2Bhighlight%28-7%29%29%28xy%2Bhighlight%28-5%29%29 Multiply the Last terms:%28-7%29%28-5%29=35.


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So we have the terms: xy%5E2, -5xy, -7xy, 35


xy%5E2-5xy-7xy%2B35 Now add every term listed above to make a single expression.


xy%5E2-12xy%2B35 Now combine like terms.


So %28xy-7%29%28xy-5%29 FOILs to xy%5E2-12xy%2B35.


In other words, %28xy-7%29%28xy-5%29=xy%5E2-12xy%2B35.