document.write( "Question 601808: How would I solve the following problem?\r
\n" ); document.write( "\n" ); document.write( "X^-2-Y^-2
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\n" ); document.write( "X^-1+Y^-1
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\n" ); document.write( "I understand the first step is to change each varible into a fraction because of the negative exponent.
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Algebra.Com's Answer #380015 by w_parminder(53)\"\" \"About 
You can put this solution on YOUR website!
I think the question is to simplify \r
\n" ); document.write( "\n" ); document.write( "\"%28X%5E%28-2%29-Y%5E%28-2%29%29%2F%28X%5E%28-1%29%2BY%5E%28-1%29%29\"\r
\n" ); document.write( "\n" ); document.write( "Now using your first step. we get
\n" ); document.write( "\"%28%281%2F%28X%5E2%29%29-%281%2F%28Y%5E2%29%29%29%2F%28%281%2FX%29%2B%281%2FY%29%29\"
\n" ); document.write( "Taking the LCM of Numerator & Denominator separately, we get
\n" ); document.write( "\"%28%28Y%5E2-X%5E2%29%2F%28X%5E2%2AY%5E2%29%29%2F%28%28Y%2BX%29%2F%28X%2AY%29%29\"
\n" ); document.write( "i.e.
\n" ); document.write( "\"%28%28Y%5E2-X%5E2%29%2AX%2AY%29%2F%28X%5E2%2AY%5E2%2A%28Y%2BX%29%29\"
\n" ); document.write( "i.e.
\n" ); document.write( "\"%28%28Y-X%29%28Y%2BX%29%2AX%2AY%29%2F%28X%5E2%2AY%5E2%2A%28Y%2BX%29%29\" [Using identity \"%28a%5E2-b%5E2%29=%28a%2Bb%29%28a-b%29\"]\r
\n" ); document.write( "\n" ); document.write( "i.e.\"%28Y-X%29%2F%28X%2AY%29\"\r
\n" ); document.write( "\n" ); document.write( "This is the required solution, but It can further be written as\r
\n" ); document.write( "\n" ); document.write( "\"Y%2F%28X%2AY%29-X%2F%28X%2AY%29\"
\n" ); document.write( "i.e.
\n" ); document.write( "\"1%2FX-1%2FY\"
\n" ); document.write( "OR
\n" ); document.write( "\"X%5E%28-1%29-Y%5E%28-1%29\"
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