document.write( "Question 69365: Subtract and simplify: $\"2%2F%28x%2B1%29-3%2F%28x-3%29\"$ please show all steps \n" ); document.write( "
Algebra.Com's Answer #49386 by Edwin McCravy(20060) $\"\"$ $\"About$
You can put this solution on YOUR website!
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document.write( "The LCD is the product of the denominators :\r\n" );
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document.write( "We ask ourselves:\r\n" );
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document.write( "What factor does the denominator of the first fraction\r\n" );
document.write( ", which is , lack which the LCD contains?\r\n" );
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document.write( "The answer is that it lacks the factor . \r\n" );
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document.write( "Therefore we multiply the first fraction by \r\n" );
document.write( "which:\r\n" );
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document.write( "(1) Does not change its value because  equals\r\n" );
document.write( "    1 and multiplying by 1 does not change any value.\r\n" );
document.write( "(2) It will cause the denominator of the first fraction to be\r\n" );
document.write( "    the LCD \r\n" );
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document.write( "So \r\n" );
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document.write( "becomes:\r\n" );
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document.write( "Now we do the same with the second fraction. We ask ourselves:\r\n" );
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document.write( "What factor does the denominator of the second fraction\r\n" );
document.write( ", which is , lack which the LCD contains?\r\n" );
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document.write( "The answer is that it lacks the factor . \r\n" );
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document.write( "Therefore we multiply the second fraction by \r\n" );
document.write( "which:\r\n" );
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document.write( "(1) Does not change its value because  equals\r\n" );
document.write( "    1 and multiplying by 1 does not change any value.\r\n" );
document.write( "(2) It will cause the denominator of the second fraction to be\r\n" );
document.write( "    the LCD \r\n" );
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document.write( "So  \r\n" );
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document.write( "becomes\r\n" );
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document.write( "    \r\n" );
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document.write( "or\r\n" );
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document.write( "    \r\n" );
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document.write( "Now the denominators are the same, i.e., both denominators\r\n" );
document.write( "are now equal to the LCD \r\n" );
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document.write( "Multiply the tops out but do not multiply out the bottoms:\r\n" );
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document.write( "    \r\n" );
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document.write( "Since the denominators are the same we indicate the\r\n" );
document.write( "subtraction of the numerators over the LCD:\r\n" );
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document.write( "Remove the parentheses in the top but not in the bottom:\r\n" );
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document.write( "Combine terms in the numerator:\r\n" );
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document.write( "I am sure your teacher would accept that answer. But\r\n" );
document.write( "if you like you can factor -1 out of the numerator:\r\n" );
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document.write( "and then eliminate the  by putting a negative \r\n" );
document.write( "sign out in front of the fraction:\r\n" );
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Edwin \n" ); document.write( "
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