document.write( "Question 16575: Hello, here is my problem:
\n" ); document.write( "(U^6 + V^6 + 2U^3V^3) / (U^3 -V^3 + U^2V –UV^2)
\n" ); document.write( "The answer is= (U^2-UV+V^2)^2 / (U-V)
\n" ); document.write( "I have been working on it for about three hours, I just need the steps to help me figure it out. Please and Thanks!
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #8113 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Ok, here we go. I hope you're good at factoring binomials and trinomials.\r
\n" ); document.write( "\n" ); document.write( "\"%28U%5E6+%2B+2U%5E3V%5E3+%2B+V%5E6%29%2F%28U%5E3+%2B+U%5E2V+-+UV%5E2+-+V%5E3%29\"\r
\n" ); document.write( "\n" ); document.write( "LET'S DO THE NUMERATOR FIRST: FACTOR IT.\r
\n" ); document.write( "\n" ); document.write( "\"U%5E6+%2B+2U%5E3V%5E3+%2B+V%5E6+=+%28U%5E3+%2B+V%5E3%29%28U%5E3+%2B+V%5E3%29\" NOW FACTOR THE FACTORS WHICH ARE BOTH THE SUM OF TWO CUBES.
\n" ); document.write( "\r
\n" ); document.write( "\n" ); document.write( "NOW WE'LL DO THE DENOMINATOR. FACTOR BY GROUPING.\r
\n" ); document.write( "\n" ); document.write( "\"%28U%5E3+%2B+U%5E2V%29+-+%28UV%5E2+%2B+V%5E3%29+=+U%5E2%28U+%2B+V%29+-+V%5E2%28+U+%2B+V%29\" FACTOR THE (U + V)
\n" ); document.write( "\"%28U+%2B+V%29%28U%5E2+-+V%5E2%29\" NOW FACTOR THE (U^2 - V^2), IT'S THE DIFFERENCE OF TWO SQUARES.\r
\n" ); document.write( "\n" ); document.write( "\"%28U+%2B+V%29%28U+%2B+V%29%28U+-+V%29\" OK, NOW WE CAN PUT IT ALL BACK TOGETHER.\r
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "\n" ); document.write( "NOW, CANCEL THE (U + V)'S LEAVING:\r
\n" ); document.write( "\n" ); document.write( "\"%28%28U%5E2+-+UV+%2B+V%5E2%29%28U%5E2+-+UV+%2B+V%5E2%29%29%2F%28U+-+V%29\" = \"%28U%5E2+-+UV+%2B+V%5E2%29%5E2%2F%28U+-+V%29\" WE'RE DONE! \n" ); document.write( "
\n" );