SOLUTION: Divide. Simplify if possible (21x^2-20xy+4y^2/28^2+27xy-10y^2) divided by (15x^2-19xy+6y^2/10x^2+9xy-9y^2)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Divide. Simplify if possible (21x^2-20xy+4y^2/28^2+27xy-10y^2) divided by (15x^2-19xy+6y^2/10x^2+9xy-9y^2)      Log On


   

Question 116927: Divide. Simplify if possible
(21x^2-20xy+4y^2/28^2+27xy-10y^2) divided by (15x^2-19xy+6y^2/10x^2+9xy-9y^2)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the given expression


Multiply the first fraction by the reciprocal of the second fraction

Factor 21x%5E2-20xy%2B4y%5E2 to get %283x-2y%29%287x-2y%29

Factor 28x%5E2%2B27xy-10y%5E2 to get %284x%2B5y%29%287x-2y%29

Factor 10x%5E2%2B9xy-9y%5E2 to get %282x%2B3y%29%285x-3y%29

Factor 15x%5E2-19xy%2B6y%5E2 to get %283x-2y%29%285x-3y%29


Combine the fractions


Cancel like terms


%282x%2B3y%29%2F%284x%2B5y%29 Simplify


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Answer:

So simplifies to %282x%2B3y%29%2F%284x%2B5y%29. In other words