document.write( "Question 1038211: Can you explain and factorise 5(3x+2y)-9kx-6ky, 2p(x-5y)-(x-5y), (x+1)(x-2)+(2-x)(3-x), xy+3y-2x-6, 12ah-2bh-30ak+5bk
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Algebra.Com's Answer #653001 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "5(3x+2y)-9kx-6ky, \r\n" );
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document.write( "Factorise last two terms: -9kx-6ky as -3k(3x+2y)\r\n" );
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document.write( "5(3x+2y)-3k(3x+2y)\r\n" );
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document.write( "Let (3x+2y) = U\r\n" );
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document.write( "5U-3kU\r\n" );
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document.write( "U(5-3k)\r\n" );
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document.write( "Replace U by (3x+2y)\r\n" );
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document.write( "(3x+2y)(5-3k)\r\n" );
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document.write( "--------------------------\r\n" );
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document.write( "2p(x-5y)-(x-5y)\r\n" );
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document.write( "Let U = (x-5y)\r\n" );
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document.write( "2pU-U\r\n" );
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document.write( "U(2p-1)\r\n" );
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document.write( "Replace U by (x-5y)\r\n" );
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document.write( "(x-5y)(2p-1)\r\n" );
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document.write( "--------------------------\r\n" );
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document.write( "(x+1)(x-2)+(2-x)(3-x)\r\n" );
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document.write( "2-x is not in standard order\r\n" );
document.write( "Write it as -x+2\r\n" );
document.write( "Take out common factor -1\r\n" );
document.write( "-1(x-2)\r\n" );
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document.write( "3-x is not in standard order\r\n" );
document.write( "Write it as -x+3\r\n" );
document.write( "Take out common factor -1\r\n" );
document.write( "-1(x-3)\r\n" );
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document.write( "(x+1)(x-2)+[(-1)(x-2)(-1)(x-3)]\r\n" );
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document.write( "(x+1)(x-2)+[(-1)(-1)(x-2)(x-3)]\r\n" );
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document.write( "(x+1)(x-2)+[(+1)(x-2)(x-3)]\r\n" );
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document.write( "(x+1)(x-2)+(x-2)(x-3)\r\n" );
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document.write( "Let U = (x+1)\r\n" );
document.write( "Let V = (x-2)\r\n" );
document.write( "Let W = (x-3)\r\n" );
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document.write( "UV + VW\r\n" );
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document.write( "V(U+W)\r\n" );
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document.write( "Use brackets to hold parentheses:\r\n" );
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document.write( "V[U+W]\r\n" );
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document.write( "Replace U, V and W by what we let \r\n" );
document.write( "them equal to:\r\n" );
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document.write( "(x-2)[(x+1)+(x-3)]\r\n" );
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document.write( "(x-2)[x+1+x-3]\r\n" );
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document.write( "(x-2)[2x-2]\r\n" );
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document.write( "(x-2)[2(x-1)]\r\n" );
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document.write( "2(x-2)(x-1)\r\n" );
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document.write( " xy+3y-2x-6\r\n" );
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document.write( "Factorize first two terms: xy+3y as y(x+3)\r\n" );
document.write( "Factorize last two terms: -2x-6 as -2(x+3)\r\n" );
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document.write( "y(x+3)-2(x+3)\r\n" );
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document.write( "Let U = (x+3)\r\n" );
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document.write( "yU-2U\r\n" );
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document.write( "U(y-2)\r\n" );
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document.write( "replace U by (x+3)\r\n" );
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document.write( "(x+3)(y-2)\r\n" );
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document.write( "===================\r\n" );
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document.write( "12ah-2bh-30ak+5bk\r\n" );
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document.write( "Factorise first two terms: 12ah-2bh as 2h(6a-b)\r\n" );
document.write( "Factorise last two terms: -30ak+5bk as -5k(6a-b)\r\n" );
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document.write( "2h(6a-b)-5k(6a-b)\r\n" );
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document.write( "Let U = (6a-b)\r\n" );
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document.write( "2hU-5kU\r\n" );
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document.write( "U(2h-5k)\r\n" );
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document.write( "Replace U by (6a-b)\r\n" );
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document.write( "(6a-b)(2h-5k)\r\n" );
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document.write( "Edwin
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