SOLUTION: Find the product of the equation below ( 6 x - 5) ( 6 x + 5)

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Question 598345: Find the product of the equation below
( 6 x - 5) ( 6 x + 5)

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

%286x-5%29%286x%2B5%29 Start with the given expression.


Now let's FOIL the expression.


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


%28highlight%286x%29-5%29%28highlight%286x%29%2B5%29 Multiply the First terms:%286%2Ax%29%2A%286%2Ax%29=36%2Ax%5E2.


%28highlight%286x%29-5%29%286x%2Bhighlight%285%29%29 Multiply the Outer terms:%286%2Ax%29%2A%285%29=30%2Ax.


%286x%2Bhighlight%28-5%29%29%28highlight%286x%29%2B5%29 Multiply the Inner terms:%28-5%29%2A%286%2Ax%29=-30%2Ax.


%286x%2Bhighlight%28-5%29%29%286x%2Bhighlight%285%29%29 Multiply the Last terms:%28-5%29%2A%285%29=-25.


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


36%2Ax%5E2%2B30%2Ax-30%2Ax-25 Now add every term listed above to make a single expression.


36x%5E2-25 Now combine like terms.


So %286x-5%29%286x%2B5%29 FOILs to 36x%5E2-25.


In other words, %286x-5%29%286x%2B5%29=36x%5E2-25.


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