document.write( "Question 82586: Add the following rational expressions and make sure you answer is simplified:\r
\n" );
document.write( "\n" );
document.write( "x^3-x^2-10x/x^2-8x+16 + -3x^2-6x+64/x^2-8x+16 =\r
\n" );
document.write( "\n" );
document.write( "What I have so far is: x^3-x^2-10x >> x(x^2-x-10) [here is where I got stuck]
\n" );
document.write( " x^2-8x+16 >> (x-4)(x-4)
\n" );
document.write( " x^2-8x+16 >> (x-4)(x-4) \n" );
document.write( "
Algebra.Com's Answer #59178 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! [x^3-x^2-10x/x^2-8x+16] + [-3x^2-6x+64/x^2-8x+16]\r \n" ); document.write( "\n" ); document.write( "The denominators are the same so combine the numerators:\r \n" ); document.write( "\n" ); document.write( "= [ x^3-4x^2-16x+64]/[(x-4)^2]\r \n" ); document.write( "\n" ); document.write( "= [x^2(x-4)-16(x-4)]/[(x-4)^2]\r \n" ); document.write( "\n" ); document.write( "= [(x-4)(x^2-16)]/[(x-4)^2\r \n" ); document.write( "\n" ); document.write( "= [ (x-4)^2(x+4)]/[(x-4)^2] \n" ); document.write( "Cancel the (x-5)^2 factors to get:\r \n" ); document.write( "\n" ); document.write( "= x+4 \n" ); document.write( "============== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |