document.write( "Question 65401: \"%286-x-x%5E2%29%2F%283x%5E2-10x%2B8%29\" \n" ); document.write( "
Algebra.Com's Answer #45936 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "     \"%286-x-x%5E2%29%2F%283x%5E2-10x%2B8%29\"\r\n" );
document.write( "\r\n" );
document.write( "Rearrange the numerator in descending powers\r\n" );
document.write( "\r\n" );
document.write( "     \"%28-x%5E2-x%2B6%29%2F%283x%5E2-10x%2B8%29\"\r\n" );
document.write( "\r\n" );
document.write( "Since the leading term is negative in the numerator,\r\n" );
document.write( "factor out -1 first:\r\n" );
document.write( "\r\n" );
document.write( "     \"%28-1%28x%5E2%2Bx-6%29%29%2F%283x%5E2-10x%2B8%29\"\r\n" );
document.write( "\r\n" );
document.write( "Now we factor the parentheses in the numerator \r\n" );
document.write( "as \"%28x%2B3%29%28x-2%29\" and the denominator as\r\n" );
document.write( "\"%283x-4%29%28x-2%29\"\r\n" );
document.write( "\r\n" );
document.write( "     \"%28-1%28x%2B3%29%28x-2%29%29%2F%28%283x-4%29%28x-2%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "Next we cancel the \"%28x-2%29\"'s, and\r\n" );
document.write( "all that's left is\r\n" );
document.write( "\r\n" );
document.write( "     \"%28-1%28x%2B3%29%29%2F%28%283x-4%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "Now you can bring the negative sign out\r\n" );
document.write( "front and erase the 1, and have:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     \"-%28%28x%2B3%29%29%2F%28%283x-4%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "and then you can erase the parentheses,\r\n" );
document.write( "and have\r\n" );
document.write( "\r\n" );
document.write( "     \"+++-%28x%2B3%29%2F%283x-4%29+++\"\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );