document.write( "Question 882992: Reduce the rational expression to lowest terms:
\n" ); document.write( "a^3+27b^3/
\n" ); document.write( "a^2-9b^2\r
\n" ); document.write( "\n" ); document.write( "I tried separating the equations out like this:
\n" ); document.write( "(a+3b)(a+3b)(a+3b)/
\n" ); document.write( "-1(a+3b)(a+3b)\r
\n" ); document.write( "\n" ); document.write( "I end up with:
\n" ); document.write( "a^2+9b^2/
\n" ); document.write( "a-3b\r
\n" ); document.write( "\n" ); document.write( "When I type in the answer into my online homework, it says it is incorrect.\r
\n" ); document.write( "\n" ); document.write( "Thank you.
\n" ); document.write( "

Algebra.Com's Answer #533282 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
\"%28a%5E3%2B27b%5E3%29%2F%28a%5E2-9b%5E2%29\"
\n" ); document.write( "The numerator, you have to use the \"special Factoring formula\" as the \"Sum of cubes\"
\n" ); document.write( "namely: (a^3 + b^3) = (a+b)(a^2- ab + b^2), in your problem this would be
\n" ); document.write( ":
\n" ); document.write( "\"%28%28a%2B3b%29%28a%5E2-+3ab+%2B+9b%5E2%29%29%2F%28%28a-3b%29%28a%2B3b%29%29\"; factored the denominator as difference if squares
\n" ); document.write( "Cancel (a+3b)
\n" ); document.write( "\"%28%28a%5E2-+3ab+%2B+9b%5E2%29%29%2F%28%28a-3b%29%29\"; about all you can do with it\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );