SOLUTION: what is the trinomial area of a rectangle of (2n-5) (3n-1)

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Question 334575: what is the trinomial area of a rectangle of (2n-5) (3n-1)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%282n-5%29%283n-1%29 Start with the given expression.


Now let's FOIL the expression.


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


%28highlight%282n%29-5%29%28highlight%283n%29-1%29 Multiply the First terms:%282%2An%29%2A%283%2An%29=6%2An%5E2.


%28highlight%282n%29-5%29%283n%2Bhighlight%28-1%29%29 Multiply the Outer terms:%282%2An%29%2A%28-1%29=-2%2An.


%282n%2Bhighlight%28-5%29%29%28highlight%283n%29-1%29 Multiply the Inner terms:%28-5%29%2A%283%2An%29=-15%2An.


%282n%2Bhighlight%28-5%29%29%283n%2Bhighlight%28-1%29%29 Multiply the Last terms:%28-5%29%2A%28-1%29=5.


6%2An%5E2-2%2An-15%2An%2B5 Now collect every term to make a single expression.


6%2An%5E2-17%2An%2B5 Now combine like terms.


So %282n-5%29%283n-1%29 FOILs to 6%2An%5E2-17%2An%2B5.


In other words, %282n-5%29%283n-1%29=6%2An%5E2-17%2An%2B5.


So the trinomial that represents the area is 6%2An%5E2-17%2An%2B5