SOLUTION: Divide. 7x to the 5th power y to the 5th power - 21x to the 4th power y to the 4th power + 14x to the 3rd power y to the 3rd power OVER 7x to the 3rd power y to the 3rd power

Algebra ->  Algebra  -> Exponents -> SOLUTION: Divide. 7x to the 5th power y to the 5th power - 21x to the 4th power y to the 4th power + 14x to the 3rd power y to the 3rd power OVER 7x to the 3rd power y to the 3rd power      Log On

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Question 113147: Divide.
7x to the 5th power y to the 5th power - 21x to the 4th power y to the 4th power + 14x to the 3rd power y to the 3rd power OVER 7x to the 3rd power y to the 3rd power
Answer by ankor@dixie-net.com(12692) About Me  (Show Source):
You can put this solution on YOUR website!
7x to the 5th power y to the 5th power - 21x to the 4th power y to the 4th power + 14x to the 3rd power y to the 3rd power OVER 7x to the 3rd power y to the 3rd power
:
We can write it:
%287x%5E5y%5E5-21x%5E4y%5E4%2B14x%5E3y%5E3%29%2F%287x%5E3y%5E3%29
:
Note that in the numerator we can factor out 7x%5E3y%5E3:
%287x%5E3y%5E3%28x%5E2y%5E2-3xy%2B2%29%29%2F%287x%5E3y%5E3%29
:
Note that the %287x%5E3y%5E3%29's conveniently cancel and we have
:
%28x%5E2y%5E2-3xy%2B2%29
:
But that is an expression that will factor also:
(xy - 2)(xy - 1)