SOLUTION: Find the reciprocal 4/x^2+y^2

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Question 242941: Find the reciprocal
4/x^2+y^2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
4%2F%28x%5E2%29%2By%5E2 Start with the given expression.


4%2F%28x%5E2%29%2By%5E2%28%28x%5E2%29%2F%28x%5E2%29%29 Multiply the second term by %28x%5E2%29%2F%28x%5E2%29


4%2F%28x%5E2%29%2B%28x%5E2y%5E2%29%2F%28x%5E2%29 Combine the fractions.


%284%2Bx%5E2y%5E2%29%2F%28x%5E2%29 Add the fractions.


%28x%5E2%29%2F%284%2Bx%5E2y%5E2%29 Flip the fraction.


So the reciprocal of 4%2F%28x%5E2%29%2By%5E2 is %28x%5E2%29%2F%284%2Bx%5E2y%5E2%29