SOLUTION: Please simplify this equation. (2x-5)^2 thanks

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Question 187501: Please simplify this equation.

(2x-5)^2

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

%282x-5%29%5E2 Start with the given expression.


%282x-5%29%282x-5%29 Expand. Remember something like A%5E2=A%2AA.


Now let's FOIL the expression.


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


%28highlight%282x%29-5%29%28highlight%282x%29-5%29 Multiply the First terms:%282%2Ax%29%2A%282%2Ax%29=4%2Ax%5E2.


%28highlight%282x%29-5%29%282x%2Bhighlight%28-5%29%29 Multiply the Outer terms:%282%2Ax%29%2A%28-5%29=-10%2Ax.


%282x%2Bhighlight%28-5%29%29%28highlight%282x%29-5%29 Multiply the Inner terms:%28-5%29%2A%282%2Ax%29=-10%2Ax.


%282x%2Bhighlight%28-5%29%29%282x%2Bhighlight%28-5%29%29 Multiply the Last terms:%28-5%29%2A%28-5%29=25.


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


4%2Ax%5E2-10%2Ax-10%2Ax%2B25 Now add every term listed above to make a single expression.


4%2Ax%5E2-20%2Ax%2B25 Now combine like terms.


So %282x-5%29%5E2 FOILs to 4%2Ax%5E2-20%2Ax%2B25.


In other words, %282x-5%29%5E2=4%2Ax%5E2-20%2Ax%2B25.