document.write( "Question 24457: Express as a polynomial\r
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Algebra.Com's Answer #13020 by AnlytcPhil(1806)\"\" \"About 
You can put this solution on YOUR website!
Express as a polynomial \r\n" );
document.write( "(2x+10y)^3\r\n" );
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document.write( "(2x + 10y)3\r\n" );
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document.write( "This can be done by the binomial theorem.  If that is the\r\n" );
document.write( "way you were told to do it, post again.  I will only show \r\n" );
document.write( "you the basic method, which gives the same answer.\r\n" );
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document.write( "Write the cube as multiplication three times\r\n" );
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document.write( "(2x + 10y)(2x + 10y)(2x + 10y)\r\n" );
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document.write( "Use FOIL to multiply out the second and third parentheses:\r\n" );
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document.write( "(2x + 10y)(4x2 + 20xy + 20xy + 100y2)\r\n" );
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document.write( "Collect terms in the second parentheses\r\n" );
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document.write( "(2x + 10y)(4x2 + 40xy + 100y2)\r\n" );
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document.write( "Use the distributive principle to multiply the two terms\r\n" );
document.write( "in the first parentheses by the trinomial in the second \r\n" );
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document.write( "2x(4x2 + 40xy + 100y2) + 10y(4x2 + 40xy + 100y2)\r\n" );
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document.write( "then distribute each:\r\n" );
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document.write( "   8x3 + 80x2y + 200xy2 + 40x2y + 400xy2 + 1000y3\r\n" );
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document.write( "Collect like terms:\r\n" );
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document.write( "  8x3 + 120x2y + 600xy2 + 1000y3\r\n" );
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document.write( "Edwin\r\n" );
document.write( "AnlytcPhil@aol.com
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