document.write( "Question 44756: I'm not sure if I'm posting this question in the right place, but here goes:\r
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document.write( "Take a number.
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document.write( "Add 1.
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document.write( "Square the result.
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document.write( "Then subtract from it the product of the original number times two more than the original number.
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document.write( "What did you get?
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document.write( "Will it always be 1.
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document.write( "Can you explain? \n" );
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Algebra.Com's Answer #29622 by Nate(3500)![]() ![]() ![]() You can put this solution on YOUR website! Take a number. \n" ); document.write( "(x) \n" ); document.write( "Add 1. \n" ); document.write( "(x + 1) \n" ); document.write( "Square the result. \n" ); document.write( "(x + 1)^2 \n" ); document.write( "Then subtract from it the product of the original number times two more than the original number. \n" ); document.write( "(x + 1)^2 - x(x + 2) \n" ); document.write( "What did you get? \n" ); document.write( "(x + 1)^2 - x(x + 2) \n" ); document.write( "x^2 + 2x + 1 - x^2 - 2x \n" ); document.write( "x^2 - x^2 + 2x - 2x + 1 \n" ); document.write( "1 \n" ); document.write( "Will it always be 1. Yes, when you simplify, you get one. Here, I shall graph: \n" ); document.write( "f(x) = (x + 1)^2 - x(x + 2) \n" ); document.write( " |