document.write( "Question 186665: I need help on two(2) problems; Please!! they are (3/x+1)+(2/x-1)= and the next one is (1/9+1/3x)(x/9-1/x)= \n" ); document.write( "
Algebra.Com's Answer #139926 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
# 1\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"3%2F%28x%2B1%29%2B2%2F%28x-1%29\" Start with the given expression.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " Multiply the first fraction by \"%28x-1%29%2F%28x-1%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%283x-3%29%2F%28%28x%2B1%29%28x-1%29%29%2B2%2F%28x-1%29\" Distribute\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " Multiply the second fraction by \"%28x%2B1%29%2F%28x%2B1%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%283x-3%29%2F%28%28x%2B1%29%28x-1%29%29%2B%282x%2B2%29%2F%28%28x%2B1%29%28x-1%29%29\" Distribute\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%283x-3%2B2x%2B2%29%2F%28%28x%2B1%29%28x-1%29%29\" Combine the fractions.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%285x-1%29%2F%28%28x%2B1%29%28x-1%29%29\" Combine like terms.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So \"3%2F%28x%2B1%29%2B2%2F%28x-1%29=%285x-1%29%2F%28%28x%2B1%29%28x-1%29%29\" where \"x%3C%3E1\" or \"x%3C%3E-1\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "---------------------------------------------------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "# 2\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%281%2F9%2B1%2F%283x%29%29%28x%2F9-1%2Fx%29\" Start with the given expression.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " FOIL the expression\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Note: use the formula \"%28A%2BB%29%28C%2BD%29=%28A%29%28C%29%2B%28A%29%28D%29%2B%28B%29%28C%29%2B%28B%29%28D%29\" to FOIL\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%2F81-1%2F%289x%29%2B1%2F27-1%2F%283x%5E2%29\" Multiply\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So \"%281%2F9%2B1%2F%283x%29%29%28x%2F9-1%2Fx%29=x%2F81-1%2F%289x%29%2B1%2F27-1%2F%283x%5E2%29\"
\n" ); document.write( "
\n" );