document.write( "Question 44756: I'm not sure if I'm posting this question in the right place, but here goes:\r
\n" ); document.write( "\n" ); document.write( "Take a number.
\n" ); document.write( "Add 1.
\n" ); document.write( "Square the result.
\n" ); document.write( "Then subtract from it the product of the original number times two more than the original number.
\n" ); document.write( "What did you get?
\n" ); document.write( "Will it always be 1.
\n" ); document.write( "Can you explain?
\n" ); document.write( "

Algebra.Com's Answer #29622 by Nate(3500)\"\" \"About 
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( "\"+graph%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C+x%5E2+%2B+2x+%2B+1+-+x%5E2+-+2x+%29+\"
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