document.write( "Question 1210271: If x(x - 3) = - 1, then the value of x³(x³ - 18) will be \n" ); document.write( "
Algebra.Com's Answer #851798 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "\r\n" );
document.write( "\"x%28x-3%29=-1\"\r\n" );
document.write( "\r\n" );
document.write( "Cube both sides:\r\n" );
document.write( "\"x%5E3%28x-3%29%5E3=%28-1%29%5E3\"\r\n" );
document.write( "eq. 1 \"x%5E3%28x-3%29%5E3=-1\"\r\n" );
document.write( "eq. 2 \"x%5E3%28x%5E3-9x%5E2%2B27x-27%29=-1\"\r\n" );
document.write( "\r\n" );
document.write( "Go back to \r\n" );
document.write( "\"x%28x-3%29=-1\"\r\n" );
document.write( "\"x%5E2-3x=-1\"\r\n" );
document.write( "If we multiply both sides by -9 we'll have the two middle terms of the 2nd\r\n" );
document.write( "factor on the left side of eq. (2)\r\n" );
document.write( "\"-9x%5E2%2B27x=9\"\r\n" );
document.write( "Let's add the other two terms of the 2nd factor on the left of eq. (2) to both\r\n" );
document.write( "sides:\r\n" );
document.write( "\"x%5E3-9x%5E2%2B27x-27=x%5E3%2B9-27\"\r\n" );
document.write( "\"%28x-3%29%5E3=x%5E3-18\"\r\n" );
document.write( "Multiply both sides by \"x%5E3\"\r\n" );
document.write( "\"x%5E3%28x-3%29%5E3=x%5E3%28x%5E3-18%29\"\r\n" );
document.write( "\r\n" );
document.write( "Since the left side = -1 by eq. 1, the right side also = -1.\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );