document.write( "Question 957249: please solve this sum :- if two sides are given 2x(x+1) and 2x+1, then what is the length of hypotenuse side of right angle triangle.\r
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Algebra.Com's Answer #584952 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "She's right BUT!!! -- how in the lulu was she \r\n" );
document.write( "able to go from\r\n" );
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document.write( "this step:\r\n" );
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document.write( "\"c%5E2=4x%5E4%2B8x%5E3%2B8x%5E2%2B4x%2B1\"\r\n" );
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document.write( "to this step????:\r\n" );
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document.write( "\"c%5E2=%282x%5E2%2B2x%2B1%29%5E2\"\r\n" );
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document.write( "It is correct but she doesn't explain how she did that.\r\n" );
document.write( "I have no idea how she did that myself!  A magic wand!  :)\r\n" );
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document.write( "I would not have multiplied everything out as she did.\r\n" );
document.write( "Here's what I would have done:\r\n" );
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document.write( "\"c%5E2=%282x%28x%2B1%29%5E%22%22%29%5E2%2B%282x%2B1%29%5E2\"\r\n" );
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document.write( "I'd multiply \"%282x%2B1%29%5E2\" out as \"4x%5E2%2B4x%2B1\"\r\n" );
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document.write( "\"c%5E2=%282x%28x%2B1%29%5E%22%22%29%5E2%2B4x%5E2%2B4x%2B1\"\r\n" );
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document.write( "Then I'd realize that if we factor \"4x\" out of \"4x%5E2%2B4x\"\r\n" );
document.write( "we get \"4x%28x%2B1%29\" which is 2 times the 2x(x+1) in the \r\n" );
document.write( "parentheses in the first term on the right:\r\n" );
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document.write( "\"c%5E2=%282x%28x%2B1%29%5E%22%22%29%5E2%2B4x%28x%2B1%29%2B1\"\r\n" );
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document.write( "Now to make things simpler, I will let u = 2x(x+1)\r\n" );
document.write( "then 4x(x+1) will equal to 2u, and we have:\r\n" );
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document.write( "Taking positive square roots\r\n" );
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document.write( "\"c=u%2B1\"\r\n" );
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document.write( "And since \"u+=+2x%28x%2B1%29\", we have:\r\n" );
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document.write( "\"c+=+2x%28x%2B1%29%2B1\"\r\n" );
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document.write( "\"c+=+2x%5E2%2B2x%2B1\"\r\n" );
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document.write( "Edwin
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