document.write( "Question 78035: \"%282-x%2Fy%29%2F%281%2Fy%2By%29\" \n" ); document.write( "
Algebra.Com's Answer #55925 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Write the \"2\" over \"1\"} and the \"y\" over \"1\"\r\n" );
document.write( "so the whole \"building\" will be 4 \"stories\"\r\n" );
document.write( "high.\r\n" );
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document.write( "Put parentheses around the numerator and the\r\n" );
document.write( "denominator:\r\n" );
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document.write( "\"%28%282%2F1-x%2Fy%29%29%2F%28%281%2Fy%2By%2F1%29%29\"\r\n" );
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document.write( "Look at all four denominators, \"1\",\"y\",\"y\",and \"1\"\r\n" );
document.write( "Their LCD is \"y\". So multiply by \"y%2Fy\"\r\n" );
document.write( "which just equals \"1\". But make it four \"stories\" \r\n" );
document.write( "high also by putting each of the \"y\"'s over\r\n" );
document.write( "\"1\" like this\r\n" );
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document.write( "\"%28y%2F1%29%2F%28y%2F1%29\"\r\n" );
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document.write( "Now since this just equals to \"1\", we can multiply\r\n" );
document.write( "it by our example without changing its value.\r\n" );
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document.write( "\"%28y%2F1%29%2F%28y%2F1%29\"\"%28%282%2F1-x%2Fy%29%29%2F%28%281%2Fy%2By%2F1%29%29\" \r\n" );
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document.write( "Now remove the parentheses by distributing:\r\n" );
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document.write( "The first term on top just becomes \"2y%2F1\" which is\r\n" );
document.write( "just \"2y\"\r\n" );
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document.write( "\"%28+2y-%28y%2F1%29%28x%2Fy%29+%29%2F%28+%28y%2F1%29%281%2Fy%29%2B%28y%2F1%29%28y%2F1%29+%29\"\r\n" );
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document.write( "The \"y\"'s cancel in the second term on top, leaving\r\n" );
document.write( "just \"x%2F1\" which is just \"x\"\r\n" );
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document.write( "\"%28+2y-x%29%2F%28+%28y%2F1%29%281%2Fy%29%2B%28y%2F1%29%28y%2F1%29+%29\"\r\n" );
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document.write( "The \"y\"'s cancel in the first term on the bottom,\r\n" );
document.write( "leaving \"1%2F1\" which is just \"1\"\r\n" );
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document.write( "\"%28+2y-x%29%2F%28+1%2B%28y%2F1%29%28y%2F1%29+%29\"\r\n" );
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document.write( "Finally the second term on the bottom becomes \"y%5E2%2F1\"\r\n" );
document.write( "which is just \"y%5E2\" and so we end up with just\r\n" );
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document.write( "\"%28+2y-x%29%2F%28+1%2By%5E2+%29\"\r\n" );
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document.write( "Edwin
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