SOLUTION: (5m-3w)(5m+3w)

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Question 817570: (5m-3w)(5m+3w)
Found 2 solutions by jim_thompson5910, Alan3354:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%285m-3w%29%285m%2B3w%29 Start with the given expression.


Now let's FOIL the expression.


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


%28highlight%285m%29-3w%29%28highlight%285m%29%2B3w%29 Multiply the First terms:%285%2Am%29%2A%285%2Am%29=25%2Am%5E2.


%28highlight%285m%29-3w%29%285m%2Bhighlight%283w%29%29 Multiply the Outer terms:%285%2Am%29%2A%283%2Aw%29=15%2Aw%2Am.


%285m%2Bhighlight%28-3w%29%29%28highlight%285m%29%2B3w%29 Multiply the Inner terms:%28-3%2Aw%29%2A%285%2Am%29=-15%2Aw%2Am.


%285m%2Bhighlight%28-3w%29%29%285m%2Bhighlight%283w%29%29 Multiply the Last terms:%28-3%2Aw%29%2A%283%2Aw%29=-9%2Aw%5E2.


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So we have the terms: 25%2Am%5E2, 15%2Aw%2Am, -15%2Aw%2Am, -9%2Aw%5E2


25%2Am%5E2%2B15%2Aw%2Am-15%2Aw%2Am-9%2Aw%5E2 Now add every term listed above to make a single expression.


25m%5E2-9w%5E2 Now combine like terms.


So %285m-3w%29%285m%2B3w%29 FOILs to 25m%5E2-9w%5E2.


In other words, %285m-3w%29%285m%2B3w%29=25m%5E2-9w%5E2.

Special Note: This is a difference of squares

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
(5m-3w)(5m+3w)
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Multiply them