SOLUTION: (5y-2)^2

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Question 596816: (5y-2)^2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%285y-2%29%5E2 Start with the given expression.


%285y-2%29%285y-2%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%285y%29-2%29%28highlight%285y%29-2%29 Multiply the First terms:%285%2Ay%29%2A%285%2Ay%29=25%2Ay%5E2.


%28highlight%285y%29-2%29%285y%2Bhighlight%28-2%29%29 Multiply the Outer terms:%285%2Ay%29%2A%28-2%29=-10%2Ay.


%285y%2Bhighlight%28-2%29%29%28highlight%285y%29-2%29 Multiply the Inner terms:%28-2%29%2A%285%2Ay%29=-10%2Ay.


%285y%2Bhighlight%28-2%29%29%285y%2Bhighlight%28-2%29%29 Multiply the Last terms:%28-2%29%2A%28-2%29=4.


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So we have the terms: 25%2Ay%5E2, -10%2Ay, -10%2Ay, 4


25%2Ay%5E2-10%2Ay-10%2Ay%2B4 Now add every term listed above to make a single expression.


25y%5E2-20y%2B4 Now combine like terms.


So %285y-2%29%5E2 FOILs to 25y%5E2-20y%2B4.


In other words, %285y-2%29%5E2=25y%5E2-20y%2B4.