document.write( "Question 1038319: Factor 6x^3 +3x^2y -2xy –y^2 in two different ways. Show all your work. \n" ); document.write( "
Algebra.Com's Answer #653002 by Edwin McCravy(20055)\"\" \"About 
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document.write( "6x³+3x²y-2xy–y²\r\n" );
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document.write( "First way:\r\n" );
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document.write( "Factor first two terms 6x³+3x²y as 3x²(2x+y).\r\n" );
document.write( "Factor last two terms -2xy-y² as -y(2x+y).\r\n" );
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document.write( "3x²(2x+y)-y(2x+y)\r\n" );
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document.write( "Let U = (2x+y)\r\n" );
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document.write( "3x²U-yU\r\n" );
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document.write( "U(3x²-y)\r\n" );
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document.write( "Replace U by (2x+y)\r\n" );
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document.write( "(2x+y)(3x²-y)   \r\n" );
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document.write( "6x³+3x²y-2xy–y²\r\n" );
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document.write( "Second way:\r\n" );
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document.write( "Swap middle two terms:\r\n" );
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document.write( "6x³-2xy+3x²y–y²\r\n" );
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document.write( "Factor first two terms 6x³-2xy as 2x(3x²-y).\r\n" );
document.write( "Factor last two terms +3x²y-y² as +y(3x²-y).\r\n" );
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document.write( "2x(3x²-y)+y(3x²-y)\r\n" );
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document.write( "Let U = (3x²-y)\r\n" );
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document.write( "2xU+yU\r\n" );
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document.write( "U(2x+y)\r\n" );
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document.write( "Replace U by (3x²-y)\r\n" );
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document.write( "(3x²-y)(2x+y)   \r\n" );
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document.write( "Edwin

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