document.write( "Question 23428: (x/x+y)+(x/x-y) \n" ); document.write( "
Algebra.Com's Answer #12214 by AnlytcPhil(1810)\"\" \"About 
You can put this solution on YOUR website!
(x/x+y)+(x/x-y)\r\n" );
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document.write( "What you typed means this\r\n" );
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document.write( " x         x\r\n" );
document.write( "--- + y + --- - y\r\n" );
document.write( " x         x\r\n" );
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document.write( "I'm sure that's not what you meant as that is too easy:\r\n" );
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document.write( "1 + y + 1 - y \r\n" );
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document.write( "which equals 2.\r\n" );
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document.write( "You didn't put in enough parentheses.  To type an expression all on one line,\r\n" );
document.write( "you must begin every numerator and every denominator with a \"(\" and end it with\r\n" );
document.write( "a \"}\"; otherwise you cannot tell where it starts and ends.  The only times you\r\n" );
document.write( "don't need a pair of parentheses around a numerator or denominator is when it\r\n" );
document.write( "contains only one number or one letter.\r\n" );
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document.write( "What I think you meant was this\r\n" );
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document.write( "  x       x\r\n" );
document.write( "----- + -----\r\n" );
document.write( " x+y     x-y\r\n" );
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document.write( "which you should have typed on one line as:\r\n" );
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document.write( "x/(x+y) + x/(x-y)\r\n" );
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document.write( "  x       x\r\n" );
document.write( "----- + -----\r\n" );
document.write( " x+y     x-y\r\n" );
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document.write( "When the denominators have no common factor, as here, you may use\r\n" );
document.write( "this rule:\r\n" );
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document.write( "     A     C     AD ± CB\r\n" );
document.write( "    --- ± --- = ---------\r\n" );
document.write( "     B     D        BD\r\n" );
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document.write( "  x       x      x(x-y) + x(x+y)\r\n" );
document.write( "----- + ----- = ----------------- = (CAREFUL! NO CANCELLING BETWEEN\r\n" );
document.write( " x+y     x-y       (x+y)(x-y)        NUMERATOR AND DENOMINATOR ALLOWED HERE!)\r\n" );
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document.write( "      x² - xy + x² + xy\r\n" );
document.write( "      -----------------\r\n" );
document.write( "         (x+y)(x-y)\r\n" );
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document.write( "             2x²\r\n" );
document.write( "        ------------\r\n" );
document.write( "         (x+y)(x-y)\r\n" );
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document.write( "Edwin\r\n" );
document.write( "AnlytcPhil@aol.com
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