document.write( "Question 960963: Which of the following is equivalent to the expression 16x^8-100y^6 ?
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Algebra.Com's Answer #587277 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "FOIL them all out and see:\r\n" );
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document.write( "A. \"%288x%5E4%2B50y%5E3%29%288x%5E4-50y%5E3%29\"\"%22%22=%22%22\"\"64x%5E8-400x%5E4y%5E3%2B400x%5E4y%5E3-2500y%5E6\"\"%22%22=%22%22\"\"64x%5E8-cross%28400x%5E4y%5E3%29%2Bcross%28400x%5E4y%5E3%29-2500y%5E6\"\"%22%22=%22%22\"\"64x%5E8-2500y%5E6\" NO\r\n" );
document.write( "B. \"%288x%5E4%2B50y%5E4%29%288x%5E4-50y%5E2%29\"\"%22%22=%22%22\"\"64x%5E8-400x%5E4y%5E2%2B400x%5E4y%5E4-2500y%5E6\" NO\r\n" );
document.write( "C. \"%284x%5E4%2B10y%5E3%29%284x%5E4-10y%5E3%29\"\"%22%22=%22%22\"\"64x%5E8-400x%5E4y%5E3%2B400x%5E4y%5E3-100y%5E6\"\"%22%22=%22%22\"\"64x%5E8-cross%28400x%5E4y%5E3%29%2Bcross%28400x%5E4y%5E3%29-100y%5E6\"\"%22%22=%22%22\"\"64x%5E8-2500y%5E6\" NO\r\n" );
document.write( "D. \"%284x%5E4%2B10y%5E4%29%284x%5E4-10y%5E2%29\"\"%22%22=%22%22\"\"16x%5E8-40x%5E4y%5E3%2B40x%5E4y%5E3-100y%5E6\"\"%22%22=%22%22\"\"16x%5E8-cross%2840x%5E4y%5E3%29%2Bcross%2840x%5E4y%5E3%29-100y%5E6\"\"%22%22=%22%22\"\"16x%5E8-100y%5E6\" YES\r\n" );
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document.write( "Even though D is the correct answer, it's not completely factored.\r\n" );
document.write( "If fact D, although mathematically correct, is not what you should \r\n" );
document.write( "do first when factoring.\r\n" );
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document.write( "Here's the correct way to do the problem:\r\n" );
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document.write( "\"16x%5E8-100y%5E6\"\r\n" );
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document.write( "Factor out greatest common factor of 4. That's what you should do first,\r\n" );
document.write( "always!\r\n" );
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document.write( "\"4%284x%5E8-25y%5E6%29\"\r\n" );
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document.write( "Write \"4x%5E8\" as \"%282x%5E4%29%5E2\" and \"25y%5E6\" as \"%285y%5E3%29%5E2\"\r\n" );
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document.write( "\"4%28%282x%5E4%29%5E2-%285y%5E3%29%5E2%29\" \r\n" );
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document.write( "Factor the difference of squares.\r\n" );
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document.write( "\"4%282x%5E4-5y%5E3%29%282x%5E4%2B5y%5E3%29\"\r\n" );
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document.write( "That's the correct complete factorization even though \r\n" );
document.write( "it is not listed.\r\n" );
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document.write( "Edwin
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