document.write( "Question 908854: show by a counter example that (x+y)^-2 and x^-2+y^-2 are not equivalent. \n" ); document.write( "

Algebra.Com's Answer #552039 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"x=1\"$ and $\"y=2\"$ .
\n" ); document.write( " $\"x%2By=3\"$
\n" ); document.write( " $\"%28x%2By%29%5E2=9\"$
\n" ); document.write( " $\"%28x%2By%29%5E%28-2%29=1%2F9\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"x%5E2=1\"$
\n" ); document.write( " $\"x%5E%28-2%29=1\"$
\n" ); document.write( " $\"y%5E2=4\"$
\n" ); document.write( " $\"y%5E%28-2%29=1%2F4\"$
\n" ); document.write( " $\"x%5E%28-2%29%2By%28-2%29=1%2B1%2F4\"$
\n" ); document.write( " $\"x%5E%28-2%29%2By%28-2%29=5%2F4\"$
\n" ); document.write( "So clearly,
\n" ); document.write( " $\"%28x%2By%29%5E%28-2%29%3C%3Ex%5E%28-2%29%2By%5E%28-2%29\"$ \n" ); document.write( "

\n" );