Can this equation be simplified? If so, how
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Can this equation be simplified? If so, how

[From: ] [author: ] [Date: 12-07-06] [Hit: ]
but thats about it.And its not an equation, its an expression.Equations have an equals sign (=).......
(x^2+2x+1)/(x-3)

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Firstly you'll want to simplify the equation in the numerator through factoring.

x^2+2x+1 can be simplified into (x+1)(x+1) or (x+1)^2 because 1*1 = 1 and 1+1 = 2.

Our equation is now ((x+1)(x+1))/(x-3)


There's no term that's present in BOTH the numerator and the denominator that's the same, so nothing cancels.


Your final answer is ((x+1)(x+1))/(x-3)

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It cannot be simplified. You could check by synthetic division. If the remainder is not 0, the expression cannot be simplified.
Check for the remainder by substituting 3 (the negative constant in the divisor) in the numerator, and seeing if the value is 0.
(3)^2 + 2(3) + 1 = 9 + 6 + 1 = 16 ≠ 0
Therefore, the equation cannot be simplified.

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You could rewrite the top as (x+1)², but that's about it.

And it's not an "equation," it's an "expression." "Equations" have an equals sign (=).
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