document.write( "Question 941153: I'm not sure how to solve this. It's asking me to factor the expression.\r
\n" ); document.write( "\n" ); document.write( "The expression it's asking me to factor is:
\n" ); document.write( "54x^2 +81x +30 \r
\n" ); document.write( "\n" ); document.write( "and it's also asking me to factor a second expression
\n" ); document.write( "-216x^3 + 1\r
\n" ); document.write( "\n" ); document.write( "If you could give me some insight on how to factor these two problems you'd be a huge help! Thank you! \n" ); document.write( "

Algebra.Com's Answer #573703 by josgarithmetic(39621) $\"\"$ $\"About$

You can put this solution on YOUR website!
The second expression is the difference of cubes. You can look for the formula or try to derive it.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The first expression best managed by factoring each term completely, first.\r
\n" ); document.write( "\n" ); document.write( " $\"27%2A2%2Ax%5E2%2B9%2A9x%2B3%2A2%2A5\"$
\n" ); document.write( " $\"3%2A9%2A2x%5E2%2B3%2A3%2A9x%2B3%2A10\"$
\n" ); document.write( " $\"3%2818x%5E2%2B27x%2B10%29\"$
\n" ); document.write( "You can try searching for combinations, but I will use the Discriminant.
\n" ); document.write( "Discriminant, $\"27%5E2-4%2A18%2A10=9\"$ , which means the roots of the quadratic part are $\"%28-27-sqrt%289%29%29%2F36\"$ and $\"%28-27%2Bsqrt%289%29%29%2F36\"$ ;
\n" ); document.write( " $\"-30%2F36\"$ and $\"-24%2F36\"$ ;
\n" ); document.write( " $\"-5%2F6\"$ and $\"-2%2F3\"$ ;
\n" ); document.write( "Whole factorization therefore, $\"highlight%283%28x%2B5%2F6%29%28x%2B2%2F3%29%29\"$ . \n" ); document.write( "

\n" );