document.write( "Question 326188: Please help me use the binomial theorem to expand this expression \"%282-x%29%5E5\"\r
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Algebra.Com's Answer #233545 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "You only need to be able to get \"nCr\" on your calculator.\r\n" );
document.write( "On the TI-84, suppose you wanted, say for example, 9C3\r\n" );
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document.write( "On the cleared main screen, type the value of n (in this example 9)\r\n" );
document.write( "Press MATH\r\n" );
document.write( "Press the left arrow\r\n" );
document.write( "Press 3\r\n" );
document.write( "type the value of r (in this example 3)\r\n" );
document.write( "You should see -->  9 nCr 3\r\n" );
document.write( "Press ENTER\r\n" );
document.write( "             (in this example you get 84)\r\n" );
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document.write( "------------------------------------------- \r\n" );
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document.write( "Now we'll set up the terms of the binomial expansion for:\r\n" );
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document.write( "\"%282-x%29%5E5\"\r\n" );
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document.write( "There is always one more term than the exponent.  The\r\n" );
document.write( "emponet is 5.  So there are 6 terms:\r\n" );
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document.write( "1st term:  \"%285C0%29%282%29%5E5%28-x%29%5E0\"\r\n" );
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document.write( "2nd term:  \"%285C1%29%282%29%5E4%28-x%29%5E1\"\r\n" );
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document.write( "3rd term:  \"%285C2%29%282%29%5E3%28-x%29%5E2\"\r\n" );
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document.write( "4th term:  \"%285C3%29%282%29%5E2%28-x%29%5E3\"\r\n" );
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document.write( "5th term:  \"%285C4%29%282%29%5E1%28-x%29%5E4\"\r\n" );
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document.write( "6th term:  \"%285C5%29%282%29%5E0%28-x%29%5E5\"\r\n" );
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document.write( "Observe that pattern carefully so you can do other\r\n" );
document.write( "binomial expansion problems.\r\n" );
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document.write( "Simplifying 1st term:\r\n" );
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document.write( "\"%285C0%29%282%29%5E5%28-x%29%5E0\"\"%22%22=%22%22\"\"%281%29%2832%29%281%29\"\"%22%22=%22%22\"\"32\"\r\n" );
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document.write( "Simplifying 2nd term:\r\n" );
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document.write( "\"%285C1%29%282%29%5E4%28-x%29%5E1\"\"%22%22=%22%22\"\"%285%29%2816%29%28-x%29\"\"%22%22=%22%22\"\"-80x\"\r\n" );
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document.write( "Simplifying 3rd term:\r\n" );
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document.write( "\"%285C2%29%282%29%5E3%28-x%29%5E2\"\"%22%22=%22%22\"\"%2810%29%288%29%28x%5E2%29\"\"%22%22=%22%22\"\"80x%5E2\"\r\n" );
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document.write( "Simplifying 4th term:\r\n" );
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document.write( "\"%285C3%29%282%29%5E2%28-x%29%5E3\"\"%22%22=%22%22\"\"%2810%29%284%29%28-x%5E3%29\"\"%22%22=%22%22\"\"-40x%5E3\"\r\n" );
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document.write( "Simplifying 5th term:\r\n" );
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document.write( "\"%285C4%29%282%29%5E1%28-x%29%5E4\"\"%22%22=%22%22\"\"%285%29%282%29%28x%5E4%29\"\"%22%22=%22%22\"\"10x%5E4\"\r\n" );
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document.write( "Simplifying 6th term:\r\n" );
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document.write( "\"%285C5%29%282%29%5E0%28-x%29%5E5\"\"%22%22=%22%22\"\"%281%29%281%29%28-x%5E5%29\"\"%22%22=%22%22\"\"-x%5E5\"\r\n" );
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document.write( "So:\r\n" );
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document.write( "\"%282-x%29%5E5\"\"%22%22=%22%22\"\"32\"\"%22%22-%22%22\"\"80x\"\"%22%22%2B%22%22\"\"80x%5E2\"\"%22%22-%22%22\"\"40x%5E3\"\"%22%22%2B%22%22\"\"10x%5E4\"\"%22%22-%22%22\"\"x%5E5\"\r\n" );
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document.write( "Edwin
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