document.write( "Question 372035: perform the indicated operation. simplify show step by step\r
\n" ); document.write( "\n" ); document.write( "ILL USE \" / \" to represent the equation. it does not mean to DIVIDE.\r
\n" ); document.write( "\n" ); document.write( "\"\"/\"\" ---MEANS--over NOT divide\r
\n" ); document.write( "\n" ); document.write( "5/2-x+ 2x/ x^2-4 - 1/2+x \n" ); document.write( "
Algebra.Com's Answer #265076 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
I assume you mean:
\n" ); document.write( "\"5%2F%28%282-x%29%29+%2B+%282x%29%2F%28%28x%5E2-4%29%29+-+1%2F%28%282%2Bx%29%29\"
\n" ); document.write( ":
\n" ); document.write( "You can factor x^2-4 as the difference of squares
\n" ); document.write( "\"5%2F%28%282-x%29%29+%2B+%282x%29%2F%28%28x-2%29%28x%2B2%29%29+-+1%2F%28%282%2Bx%29%29\"
\n" ); document.write( ":
\n" ); document.write( "make the other denominators compatible
\n" ); document.write( "\"5%2F%28-1%28x-2%29%29+%2B+%282x%29%2F%28%28x-2%29%28x%2B2%29%29+-+1%2F%28%28x%2B2%29%29\"
\n" ); document.write( ":
\n" ); document.write( "the -1 just changes the sign of the 1st term
\n" ); document.write( "\"-5%2F%28%28x-2%29%29+%2B+%282x%29%2F%28%28x-2%29%28x%2B2%29%29+-+1%2F%28%28x%2B2%29%29\"
\n" ); document.write( ":
\n" ); document.write( "The common denominator is (x-2)(x+2) so we have
\n" ); document.write( "\"%28-5%28x%2B2%29+%2B+2x+-+%28x-2%29%29%2F%28%28x%2B2%29%28x-2%29%29\" = \"%28-5x+-+10+%2B+2x+-+x+%2B+2%29%2F%28%28x%2B2%29%28x-2%29%29\" = \"%28-4x+-+8%29%2F%28%28x%2B2%29%28x-2%29%29\"
\n" ); document.write( ":
\n" ); document.write( "Factor the numerator, cancel (x+2)
\n" ); document.write( "\"%28-4%28x+%2B+2%29%29%2F%28%28x%2B2%29%28x-2%29%29\" = \"%28-4%29%2F%28%28x-2%29%29\" \n" ); document.write( "
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