SOLUTION: stuck on solving this problem and I need help. I am trying to understand this type of problem and cannot grasp how to simplify this when the problem is set up this way 5x^2 - 3y

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: stuck on solving this problem and I need help. I am trying to understand this type of problem and cannot grasp how to simplify this when the problem is set up this way 5x^2 - 3y      Log On


   

Question 188744: stuck on solving this problem and I need help. I am trying to understand this type of problem and cannot grasp how to simplify this when the problem is set up this way
5x^2 - 3y^-1
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x^-1 + y^-1
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%285x%5E2+-+3y%5E%28-1%29%29%2F%28x%5E%28-1%29+%2B+y%5E%28-1%29%29 Start with the given expression.


%285x%5E2+-+3%2Fy%5E1%29%2F%281%2Fx%5E1+%2B+1%2Fy%5E1%29 Rewrite every expression with a negative exponent with a positive exponent.


Note: 3y%5E%28-1%29=3%2Fy%5E1, x%5E%28-1%29=1%2Fx%5E1, and y%5E%28-1%29=1%2Fy%5E1 where x%3C%3E0 or y%3C%3E0



%285x%5E2+-+3%2Fy%29%2F%281%2Fx+%2B+1%2Fy%29 Simplify


Multiply EVERY term by the inner LCD xy to clear out the inner fractions.


%285x%5E2%28xy%29+-+x%283%29%29%2F%28y%281%29+%2B+x%281%29%29 Simplify


%285x%5E3y+-+3x%29%2F%28y+%2B+x%29 Multiply



So where x%3C%3E0 or y%3C%3E0