document.write( "Question 64454This question is from textbook beginning algebra
\n" ); document.write( ": 77. X2POWER+2XY+3X+6Y\r
\n" ); document.write( "\n" ); document.write( "79. X2POWER Y-X2POWER-3Y+3\r
\n" ); document.write( "\n" ); document.write( "81. X4POWER-2X3POWER+X2POWER+X-1\r
\n" ); document.write( "\n" ); document.write( "FACTOR BY GROUPING\r
\n" ); document.write( "\n" ); document.write( "MY ANS FOR 77. IS X2PWER-2Y-3X+6X IS THIS CORRECT HELP \n" ); document.write( "
Algebra.Com's Answer #45076 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Factor by grouping:
\n" ); document.write( "77)
\n" ); document.write( "\"x%5E2%2B2xy%2B3x%2B6y\" Group as shown by the parentheses.
\n" ); document.write( "\"%28x%5E2%2B2xy%29+%2B+%283x%2B6y%29\" Factor an x from the 1st group and a 3 from the 2nd group.
\n" ); document.write( "\"x%28x%2B2y%29+%2B+3%28x%2B2y%29\" Now factor (x+2y)
\n" ); document.write( "\"%28x%2B2y%29%28x%2B3%29\" ...Done!\r
\n" ); document.write( "\n" ); document.write( "79)
\n" ); document.write( "\"x%5E2y-x%5E2-3y%2B3\" Group as shown by the parentheses.
\n" ); document.write( "\"%28x%5E2y-x%5E2%29+-+%283y-3%29\" Factor \"x%5E2\" from the 1st group and 3 from the 2nd group.
\n" ); document.write( "\"x%5E2%28y-1%29+-+3%28y-1%29\" Now factor (y-1).
\n" ); document.write( "\"%28y-1%29%28x%5E2-3%29\" Normally this would be sufficient, but you could further factor the 2nd factor \"%28x%5E2-3%29+=%28x%2Bsqrt%283%29%29%28x-sqrt%283%29%29\" to get:
\n" ); document.write( "\"%28y-1%29%28x%2Bsqrt%283%29%29%28x-sqrt%283%29%29\"\r
\n" ); document.write( "\n" ); document.write( "81)
\n" ); document.write( "\"x%5E4-2x%5E3-x%5E2%2Bx-1\" Group as shown:
\n" ); document.write( "\"%28x%5E4-2x%5E3%2Bx%5E2%29+%2B+%28x-1%29\" Factor \"x%5E2\" from the 1st group.
\n" ); document.write( "\"x%5E2%28x%5E2-2x%2B1%29+%2B+%28x-1%29\" Now factor the 1st group in parentheses.
\n" ); document.write( "\"x%5E2%28x-1%29%28x-1%29+%2B+%28x-1%29\" Now factor (x-1)
\n" ); document.write( "\"x%5E2%28x-1%29%28%28x-1%29+%2B+1%29\" Simplify.
\n" ); document.write( "\"x%5E2%28x-1%29%28x%29\"
\n" ); document.write( "\"x%5E3%28x-1%29\" \n" ); document.write( "
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