SOLUTION: please multiply (5x-2)^2 thank you

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Question 197662: please multiply

(5x-2)^2

thank you
Found 2 solutions by checkley77, jim_thompson5910:
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
(5x-2)^2
5x-2
5x-2
---------------
25x^2-10x-10x+4
25x^2-20x+4 ams.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

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


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


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


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


%285x%2Bhighlight%28-2%29%29%285x%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%2Ax%5E2, -10%2Ax, -10%2Ax, 4


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


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


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


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