SOLUTION: Divide. 7x^5y^5 - 21x^4y^4 + 14x^3y^3 ___________ ___________ ____ 7x^3y^3 Please help me, I have been on this problem over 30 minutes. Thank you so much.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Divide. 7x^5y^5 - 21x^4y^4 + 14x^3y^3 ___________ ___________ ____ 7x^3y^3 Please help me, I have been on this problem over 30 minutes. Thank you so much.      Log On


   

Question 27661: Divide.
7x^5y^5 - 21x^4y^4 + 14x^3y^3
____________________________
7x^3y^3
Please help me, I have been on this problem over 30 minutes.
Thank you so much.
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
+%287x%5E5y%5E5+-+21x%5E4y%5E4+%2B+14x%5E3y%5E3%29%2F%287x%5E3y%5E3%29+

Looking at the top terms, we can factorise...the 3 terms each have similar terms in them...

+%28%287x%5E3y%5E3%29%28x%5E2y%5E2+-+3xy+%2B+2%29%29%2F%287x%5E3y%5E3%29+
+%28x%5E2y%5E2+-+3xy+%2B+2%29+

there you go. This is the answer. However, we could factorise this into (xy-2)(xy-1) too... but it doesn't ask you to do that: just a nice final thing to do to the "answer"

jon.