SOLUTION: WORD PROBLEM - SOLVE THE FOLLOWING POLYNOMIAL EQUATION Show by counterexample that (x+y)^-2 and x^-2 + y^-2 are not equivalent.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: WORD PROBLEM - SOLVE THE FOLLOWING POLYNOMIAL EQUATION Show by counterexample that (x+y)^-2 and x^-2 + y^-2 are not equivalent.       Log On


   

Question 91370This question is from textbook algebra and trigonometry
: WORD PROBLEM - SOLVE THE FOLLOWING POLYNOMIAL EQUATION
Show by counterexample that (x+y)^-2 and x^-2 + y^-2 are not equivalent.
 This question is from textbook algebra and trigonometry

Answer by mathispowerful(115) About Me  (Show Source):
You can put this solution on YOUR website!
Show by counterexample that (x+y)^-2 and x^-2 + y^-2 are not equivalent.
let x=1, y=1
%28x%2By%29%5E%28-2%29 = 2%5E%28-2%29 = 1%2F4
x%5E%28-2%29+%2B+y%5E%28-2%29 = 1%5E%28-2%29+%2B+1%5E%28-2%29 = 1+1 = 2
apparently they are not equal.