document.write( "Question 336186: How do I combine:\r
\n" ); document.write( "\n" ); document.write( "3x/x-16 - 1/x-4\r
\n" ); document.write( "\n" ); document.write( "Thank you!
\n" ); document.write( "

Algebra.Com's Answer #241063 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"%283x%29%2F%28x-16%29-1%2F%28x-4%29\" Start with the given expression.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%283x%28x-4%29%29%2F%28%28x-16%29%28x-4%29%29-1%2F%28x-4%29\" Multiply the first fraction by \"%28x-4%29%2F%28x-4%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%283x%28x-4%29%29%2F%28%28x-16%29%28x-4%29%29-%281%28x-16%29%29%2F%28%28x-16%29%28x-4%29%29\" Multiply the second fraction by \"%28x-16%29%2F%28x-16%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%283x%5E2-12x%29%2F%28%28x-16%29%28x-4%29%29-%28x-16%29%2F%28%28x-16%29%28x-4%29%29\" Distribute.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28%283x%5E2-12x%29-%28x-16%29%29%2F%28%28x-16%29%28x-4%29%29\" Combine the fractions (this is possible now that the denominators are equal).\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%283x%5E2-12x-x%2B16%29%2F%28%28x-16%29%28x-4%29%29\" Distribute.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%283x%5E2-13x%2B16%29%2F%28%28x-16%29%28x-4%29%29\" Combine like terms.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%283x%5E2-13x%2B16%29%2F%28x%5E2-20x%2B64%29\" FOIL\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So \"%283x%29%2F%28x-16%29-1%2F%28x-4%29=%283x%5E2-13x%2B16%29%2F%28x%5E2-20x%2B64%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "If you need more help, email me at jim_thompson5910@hotmail.com\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Also, feel free to check out my website. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Jim
\n" ); document.write( "
\n" );