document.write( "Question 101221: \"%28x%5E2-y%5E2%29%2F%28x%5E4-x%5E3%29\"÷\"%28x-y%29%2Fx%5E2\"÷\"%28x%5E2%2B2xy%2By%5E2%29%2F%28x%2By%29\"
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Algebra.Com's Answer #73704 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
\"%28x%5E2-y%5E2%29%2F%28x%5E4-x%5E3%29\"÷\"%28x-y%29%2Fx%5E2\"÷\"%28x%5E2%2B2xy%2By%5E2%29%2F%28x%2By%29\"
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document.write( "We take care of the ÷ 's first in order left to right. So we put\r\n" );
document.write( "parentheses arould the first two fractions so that we do that\r\n" );
document.write( "division first.\r\n" );
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document.write( "(\"%28x%5E2-y%5E2%29%2F%28x%5E4-x%5E3%29\" ÷ \"%28x-y%29%2Fx%5E2\") ÷ \"%28x%5E2%2B2xy%2By%5E2%29%2F%28x%2By%29\"\r\n" );
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document.write( "Within the parentheses we invert the second fraction and change\r\n" );
document.write( "the division symbol to a multiplication symbol\r\n" );
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document.write( "(\"%28x%5E2-y%5E2%29%2F%28x%5E4-x%5E3%29\" · \"x%5E2%2F%28x-y%29\") ÷ \"%28x%5E2%2B2xy%2By%5E2%29%2F%28x%2By%29\"\r\n" );
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document.write( "Now we invert the third fraction and change the division symbol\r\n" );
document.write( "to a multiplication:\r\n" );
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document.write( "(\"%28x%5E2-y%5E2%29%2F%28x%5E4-x%5E3%29\" · \"x%5E2%2F%28x-y%29\") · \"%28x%2By%29%2F%28x%5E2%2B2xy%2By%5E2%29\"\r\n" );
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document.write( "Now we don't need the parentheses around the first two any more:\r\n" );
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document.write( "\"%28x%5E2-y%5E2%29%2F%28x%5E4-x%5E3%29\" · \"x%5E2%2F%28x-y%29\" · \"%28x%2By%29%2F%28x%5E2%2B2xy%2By%5E2%29\"\r\n" );
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document.write( "Now we indicate the product of all the numerators over the\r\n" );
document.write( "product of all the denominators:\r\n" );
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document.write( "Now we factor the \"%28x%5E2-y%5E2%29\" as \"%28x-y%29%28x%2By%29\",\r\n" );
document.write( "the \"x%5E4-x%5E3\" as \"x%5E3%28x-1%29\", and\r\n" );
document.write( "the \"%28x%5E2%2B2xy%2By%5E2%29\" as \"%28x%2By%29%28x%2By%29\"\r\n" );
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document.write( "We cancel the \"%28x-y%29\"in the top with the \"%28x-y%29\" in the bottom.\r\n" );
document.write( "There are two \"%28x%2By%29\" factors in the top that cancel\r\n" );
document.write( "with the two \"%28x%2By%29\" factors in the bottom.\r\n" );
document.write( "The \"%28x%5E2%29\" in the top cancels into the \"x%5E3\" in the bottom,\r\n" );
document.write( "leaving only an \"x%5E1\" or just \"x\" in the bottom. So we have only \r\n" );
document.write( "this left after canceling:\r\n" );
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document.write( "\"+1+%2F+%28+x%28x-1%29+%29\"\r\n" );
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document.write( "Edwin
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