document.write( "Question 167820: Simplfy by removing non-positive exponents: x to the -1 plus y to the -1 divided by x squared minus y squared. \n" ); document.write( "

Algebra.Com's Answer #123715 by nerdybill(7384) $\"\"$ $\"About$

You can put this solution on YOUR website!
x to the -1 plus y to the -1 divided by x squared minus y squared.
\n" ); document.write( ".
\n" ); document.write( " $\"+%28x%5E-1+%2B+y%5E-1%29%2F%28x%5E2-y%5E2%29\"$
\n" ); document.write( ".
\n" ); document.write( " $\"+%281%2Fx+%2B+1%2Fy%29%2F%28x%5E2-y%5E2%29\"$
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\n" ); document.write( "Multiplying numerator and denominator by xy:
\n" ); document.write( " $\"+%281%2Fx+%2B+1%2Fy%29%28xy%29%2F%28x%5E2-y%5E2%29%28xy%29\"$
\n" ); document.write( " $\"+%281%2Fx+%2B+1%2Fy%29%28xy%29%2F%28x%5E2-y%5E2%29%28xy%29\"$
\n" ); document.write( " $\"+%28y+%2B+x%29%2F%28x%5E2-y%5E2%29%28xy%29\"$
\n" ); document.write( "Factoring the denominator:
\n" ); document.write( " $\"+%28y+%2B+x%29%2F%28x%2By%29%28x-y%29%28xy%29\"$
\n" ); document.write( "Canceling like-terms:
\n" ); document.write( " $\"+1%2F%28x-y%29%28xy%29\"$
\n" ); document.write( "Or,
\n" ); document.write( " $\"+1%2F%28x%5E2y-xy%5E2%29\"$ \r
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