document.write( "Question 1041348: (x+y-2z)^2+2(x+y-2z)(x-2y+2z)+(x-2y+2z)^2 \n" ); document.write( "
Algebra.Com's Answer #656307 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"%28x%2By-2z%29%5E2%2B2%28x%2By-2z%29%28x-2y%2B2z%29%2B%28x-2y%2B2z%29%5E2\"\r\n" );
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document.write( "Let (x+y-2z) = p\r\n" );
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document.write( "Let (x-2y+2z) = q\r\n" );
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document.write( "Substituting,\r\n" );
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document.write( "\"p%5E2%2B2pq%2Bq%5E2\"\r\n" );
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document.write( "Factoring as a perfect square.\r\n" );
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document.write( "\"%28p%2Bq%29%5E2\"\r\n" );
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document.write( "Replacing p and q  with (x+y-2z) and (x-2y+2z),\r\n" );
document.write( "respectively,\r\n" );
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document.write( "\"%28%28x%2By-2z%29%2B%28x-2y%2B2z%29%29%5E2\"\r\n" );
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document.write( "Removing parentheses,\r\n" );
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document.write( "\"%28x%2By-2z%2Bx-2y%2B2z%29%5E2\"\r\n" );
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document.write( "Collecting like terms,\r\n" );
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document.write( "\"%282x-y%29%5E2\"  \r\n" );
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document.write( "or multiplied out \r\n" );
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document.write( "\"4x%5E2-4xy%2By%5E2\"\r\n" );
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document.write( "whichever of the last two forms you prefer.\r\n" );
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document.write( "Edwin
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