document.write( "Question 271475: I do not know where to start and what to do to perform the proper operation to solve a rational expression. Please Help. \r
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Algebra.Com's Answer #198747 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "    \"%286r%5E2%2B5rt-25t%5E2%29%2F%286r%5E2%2B3rt-30t%5E2%29\"  \r\n" );
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document.write( "Factor the numerator\r\n" );
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document.write( "   \"6r%5E2%2B5rt-25t%5E2\"\r\n" );
document.write( "   \"%283r-5%29%282r%2B5%29\"\r\n" );
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document.write( "Factor the denominator:\r\n" );
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document.write( "   \"6r%5E2%2B3rt-30t%5E2\"\r\n" );
document.write( "   \"3%282r%5E2%2Brt-10t%5E2%29\"\r\n" );
document.write( "   \"3%28r-2%29%282r%2B5%29\"\r\n" );
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document.write( "Now write the factored numerator on top and\r\n" );
document.write( "the factored denominator on the bottom:\r\n" );
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document.write( "   \"%28%283r-5t%29%282r%2B5t%29%29%2F%283%28r-2t%29%282r%2B5t%29%29\"\r\n" );
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document.write( "The \"%282r%2B5t%29\"'s will cancel:\r\n" );
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document.write( "   \"%28%283r-5t%29%28cross%282r%2B5t%29%29%29%2F%283%28r-22%29%28cross%282r%2B52%29%29%29\"\r\n" );
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document.write( "   \"%283r-5t%29%2F%283%28r-2t%29%29\"   \r\n" );
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document.write( " \"%289r%5E2-3rt-20t%5E2%29%2F%2821r%5E2-18rt-48t%5E2%29\"\r\n" );
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document.write( "Factor the numerator\r\n" );
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document.write( "   \"9r%5E2-3rt-20t%5E2\"\r\n" );
document.write( "   \"%283r-5t%29%283r%2B4t%29\"\r\n" );
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document.write( "Factor the denominator:\r\n" );
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document.write( "   \"21r%5E2-18rt-48t%5E2\"\r\n" );
document.write( "   \"3%287r%5E2-6rt-16t%5E2%29\"\r\n" );
document.write( "   \"3%28r-2t%29%287r%2B8t%29\"\r\n" );
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document.write( "Now write the factored numerator on top and\r\n" );
document.write( "the factored denominator on the bottom:\r\n" );
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document.write( "   \"%28%283r-5t%29%283r%2B4t%29%29%2F%283%28r-2t%29%287r%2B8t%29%29\"\r\n" );
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document.write( "Nothing cancels so you can go no further.\r\n" );
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document.write( "Edwin
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