SOLUTION: (3h-5)(3h+5)

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Question 173302: (3h-5)(3h+5)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%283h-5%29%283h%2B5%29 Start with the given expression.


Now let's FOIL the expression.


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


%28highlight%283h%29-5%29%28highlight%283h%29%2B5%29 Multiply the First terms:%283%2Ah%29%2A%283%2Ah%29=9%2Ah%5E2.


%28highlight%283h%29-5%29%283h%2Bhighlight%285%29%29 Multiply the Outer terms:%283%2Ah%29%2A%285%29=15%2Ah.


%283h%2Bhighlight%28-5%29%29%28highlight%283h%29%2B5%29 Multiply the Inner terms:%28-5%29%2A%283%2Ah%29=-15%2Ah.


%283h%2Bhighlight%28-5%29%29%283h%2Bhighlight%285%29%29 Multiply the Last terms:%28-5%29%2A%285%29=-25.


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9%2Ah%5E2%2B15%2Ah-15%2Ah-25 Now collect every term to make a single expression.


9%2Ah%5E2-25 Now combine like terms.


So %283h-5%29%283h%2B5%29 FOILs to 9%2Ah%5E2-25.


In other words, %283h-5%29%283h%2B5%29=9%2Ah%5E2-25.