SOLUTION: (6y-8)^2

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Question 185544: (6y-8)^2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%286y-8%29%5E2 Start with the given expression.


%286y-8%29%286y-8%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%286y%29-8%29%28highlight%286y%29-8%29 Multiply the First terms:%286%2Ay%29%2A%286%2Ay%29=36%2Ay%5E2.


%28highlight%286y%29-8%29%286y%2Bhighlight%28-8%29%29 Multiply the Outer terms:%286%2Ay%29%2A%28-8%29=-48%2Ay.


%286y%2Bhighlight%28-8%29%29%28highlight%286y%29-8%29 Multiply the Inner terms:%28-8%29%2A%286%2Ay%29=-48%2Ay.


%286y%2Bhighlight%28-8%29%29%286y%2Bhighlight%28-8%29%29 Multiply the Last terms:%28-8%29%2A%28-8%29=64.


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So we have the terms: 36%2Ay%5E2, -48%2Ay, -48%2Ay, and 64


36%2Ay%5E2-48%2Ay-48%2Ay%2B64 Now add every term listed above to make a single expression.


36%2Ay%5E2-96%2Ay%2B64 Now combine like terms.


So %286y-8%29%5E2 FOILs to 36%2Ay%5E2-96%2Ay%2B64.


In other words, %286y-8%29%5E2=36%2Ay%5E2-96%2Ay%2B64.