SOLUTION: Please help solve multiply monomials. Perform the indicated operation. (5x-6)(5x-6) Thanks!

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Question 374243: Please help solve multiply monomials. Perform the indicated operation.
(5x-6)(5x-6)
Thanks!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%285x-6%29%285x-6%29 Start with the given expression.


Now let's FOIL the expression.


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


%28highlight%285x%29-6%29%28highlight%285x%29-6%29 Multiply the First terms:%285%2Ax%29%2A%285%2Ax%29=25%2Ax%5E2.


%28highlight%285x%29-6%29%285x%2Bhighlight%28-6%29%29 Multiply the Outer terms:%285%2Ax%29%2A%28-6%29=-30%2Ax.


%285x%2Bhighlight%28-6%29%29%28highlight%285x%29-6%29 Multiply the Inner terms:%28-6%29%2A%285%2Ax%29=-30%2Ax.


%285x%2Bhighlight%28-6%29%29%285x%2Bhighlight%28-6%29%29 Multiply the Last terms:%28-6%29%2A%28-6%29=36.


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So we have the terms: 25%2Ax%5E2, -30%2Ax, -30%2Ax, 36


25%2Ax%5E2-30%2Ax-30%2Ax%2B36 Now add every term listed above to make a single expression.


25%2Ax%5E2-60%2Ax%2B36 Now combine like terms.


So %285x-6%29%285x-6%29 FOILs to 25%2Ax%5E2-60%2Ax%2B36.


In other words, %285x-6%29%285x-6%29=25%2Ax%5E2-60%2Ax%2B36.


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim