document.write( "Question 93084This question is from textbook
\n" ); document.write( ": Please help me with this equation:\r
\n" ); document.write( "\n" ); document.write( "It is a rational expression and the directions are: Perform the operation and simplify completely:\r
\n" ); document.write( "\n" ); document.write( "(2x-1) divided by (x+3) minus (1-x) divided by (x+3) \n" ); document.write( "
Algebra.Com's Answer #67886 by bucky(2189)\"\" \"About 
You can put this solution on YOUR website!
Given:
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\n" ); document.write( "\"%282x-1%29%2F%28x%2B3%29+-+%281-x%29%2F%28x%2B3%29\"
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\n" ); document.write( "To perform the operations and simplify completely you first notice that both fractions have
\n" ); document.write( "the denominator \"%28x%2B3%29\" in common. Therefore their numerators can be written over the
\n" ); document.write( "single common denominator to get:
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\n" ); document.write( "\"%28%282x-1%29-%281-x%29%29%2F%28x%2B3%29\"
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\n" ); document.write( "In the numerator the first quantity in parentheses is (2x-1). Since its set of parentheses
\n" ); document.write( "is not preceded by a minus sign, you can just remove those parentheses without doing
\n" ); document.write( "anything to the terms inside. When you do the problem becomes:
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\n" ); document.write( "\"%282x-1-%281-x%29%29%2F%28x%2B3%29\"
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\n" ); document.write( "Notice now the next set of parentheses in the numerator. The terms inside this set of
\n" ); document.write( "parentheses are +1 and -x. Since the parentheses are preceded by a minus sign, when you
\n" ); document.write( "remove the parentheses you change the sign of all the terms inside. When you do that the
\n" ); document.write( "problem then becomes:
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\n" ); document.write( "\"%282x-1-1%2Bx%29%2F%28x%2B3%29\"
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\n" ); document.write( "Then you can combine the like terms in the numerator. The +2x and the +x combine to
\n" ); document.write( "give +3x and the -1 and -1 combine to give -2. This makes the problem:
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\n" ); document.write( "\"%283x+-+2%29%2F%28x%2B3%29\"
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\n" ); document.write( "That's the answer to the problem. There are no other cancellations or combinations
\n" ); document.write( "that can be made. If you like you can long divide x + 3 into 3x - 2 and the answer you
\n" ); document.write( "will get is:
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\n" ); document.write( "\"3+-11%2F%28x%2B3%29\"
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\n" ); document.write( "But that is the same as the answer:
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\n" ); document.write( "\"%283x+-+2%29%2F%28x%2B3%29\"
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\n" ); document.write( "It's just in a different form.
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\n" ); document.write( "Hope this helps you to understand what the problem is asking for you to do, and provides
\n" ); document.write( "you with some insight into how to do the problem too.
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