document.write( "Question 123271: How would you factor out the greatest common factor for this problem?\r
\n" ); document.write( "\n" ); document.write( "13y^8+26y^4-39y^2\r
\n" ); document.write( "\n" ); document.write( "Help would be much appreciated. \n" ); document.write( "
Algebra.Com's Answer #90460 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
SCOTT'S IS RIGHT, BUT
\n" ); document.write( "STANBON'S IS WRONG BECAUSE HE FORGOT TO TAKE OUT 13.
\n" ); document.write( "HERE'S MY EXPLANATION.\r
\n" ); document.write( "\n" ); document.write( "BY EDWIN
\n" ); document.write( "
\n" ); document.write( "How would you factor out the greatest common factor for this problem?
\n" ); document.write( "\"13y%5E8%2B26y%5E4-39y%5E2\"
\n" ); document.write( "Help would be much appreciated.
\n" ); document.write( "
\r\n" );
document.write( "You can do it shorter after you learn, but this \r\n" );
document.write( "is the best way to learn how.  Break everything\r\n" );
document.write( "down into prime factors, so there are no exponents. \r\n" );
document.write( "\r\n" );
document.write( "13*y*y*y*y*y*y*y*y + 2*13*y*y*y*y - 3*13*y*y\r\n" );
document.write( "\r\n" );
document.write( "Now I'll do some coloring:\r\n" );
document.write( "\r\n" );
document.write( "13*y*y*y*y*y*y*y*y + 2*13*y*y*y*y - 3*13*y*y\r\n" );
document.write( "\r\n" );
document.write( "All three of those terms contain 13*y*y.  So that's what\r\n" );
document.write( "you can take out of each one, and what's left goes in the\r\n" );
document.write( "parentheses:\r\n" );
document.write( "\r\n" );
document.write( "So you put the common red part out front, and put the blue part\r\n" );
document.write( "inside a set of parentheses:\r\n" );
document.write( "\r\n" );
document.write( "13*y*y(y*y*y*y*y*y + 2*y*y - 3)\r\n" );
document.write( "\r\n" );
document.write( "Then you simplify it by bringing the exponents back in:\r\n" );
document.write( "\r\n" );
document.write( "13y2(y6 + 2y2 - 3)\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );