document.write( "Question 975361: (3x+5)/(x+5)-(x+1)/(2-x)-(4x^2-3x-1)/(x^2+3x-10)
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #597125 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! (3x+5)/(x+5) + (x+1)/(x-2) - [(4x^2-3x-1)/(x+5)(x-2)]\r \n" ); document.write( "\n" ); document.write( "I did two things here. I changed the sign of the second term and made the denominator (x-2) \n" ); document.write( "I did not factor the numerator after the minus sign, but I did factor the denominator. Note that I can add these if I use a common denominator of (x+5) and (x-2). The first two terms will change, but not the last. Then I can subtract\r \n" ); document.write( "\n" ); document.write( "(3x+5) (x-2)=3x^2-x-10 \n" ); document.write( "(x+1)(x+5)=x^2+6x+5 \n" ); document.write( "These two will be the first two terms over the common denominator.\r \n" ); document.write( "\n" ); document.write( "Ignoring for the moment the common denominator, we combine terms, subtracting 4x^2-3x-1, and all terms will change signs.\r \n" ); document.write( "\n" ); document.write( "3x^2-x-10+x^2+6x+5-4x^2+3x+1\r \n" ); document.write( "\n" ); document.write( "The x^2 cancel. \n" ); document.write( "-x-10+6x+5+3x+1 \n" ); document.write( "This is 8x-4= 4(2x-1)\r \n" ); document.write( "\n" ); document.write( "That is over the common denominator of (x+5)(x-2)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4(2x-1)/(x+5)(x-2)\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |