document.write( "Question 77297: how do i go about simplifing this to the simplest form?
\n" ); document.write( "x-13/x^2-x-12+3x-3/x^2-x-12
\n" ); document.write( "

Algebra.Com's Answer #55428 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
If your problem looks like this:\r
\n" ); document.write( "\n" ); document.write( "\"x-13%2Fx%5E2-x-12%2B3x-3%2Fx%5E2-x-12\" then\r
\n" ); document.write( "\n" ); document.write( "\"%28x-x-x%2B3x%29%2B%28-13%2Fx%5E2-3%2Fx%5E2%29%2B%28-12-12%29\" group like terms\r
\n" ); document.write( "\n" ); document.write( "\"2x-16%2Fx%5E2-24\" Combine like terms\r
\n" ); document.write( "\n" ); document.write( "\"%28x%5E2%2Fx%5E2%292x-16%2Fx%5E2-%28x%5E2%2Fx%5E2%2924\" Multiply the first term by (x/x) and the third term by (x^2/x^2)\r
\n" ); document.write( "\n" ); document.write( "\"2x%5E3%2Fx%5E2-16%2Fx%5E2-24x%5E2%2Fx%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"%282x%5E3-16-24x%5E2%29%2Fx%5E2\" Combine the fractions. This is the simplified form.\r
\n" ); document.write( "\n" ); document.write( "------------------------------------------------------------------------------------------------
\n" ); document.write( "Or....\r
\n" ); document.write( "\n" ); document.write( "If your problem looks like:\r
\n" ); document.write( "\n" ); document.write( "\"%28x-13%29%2F%28x%5E2-x-12%29%2B%283x-3%29%2F%28x%5E2-x-12%29\" then:\r
\n" ); document.write( "\n" ); document.write( "\"%28%28x-13%29%2B%283x-3%29%29%2F%28x%5E2-x-12%29\" Combine the fractions\r
\n" ); document.write( "\n" ); document.write( "\"%284x-16%29%2F%28x%5E2-x-12%29\" Combine like terms\r
\n" ); document.write( "\n" ); document.write( "\"4%28x-4%29%2F%28x%5E2-x-12%29\" Factor out a 4 out of the numerator\r
\n" ); document.write( "\n" ); document.write( "\"4%28x-4%29%2F%28%28x%2B3%29%28x-4%29%29\" factor the denominator\r
\n" ); document.write( "\n" ); document.write( "\"4%2Across%28x-4%29%2F%28%28x%2B3%29cross%28x-4%29%29\" Cancel like terms\r
\n" ); document.write( "\n" ); document.write( "\"4%2F%28x%2B3%29\" This is the simplified form.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );