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Question 725385: Please Simplify and give Restrictions.
x^3 + 6x^2 + 9x / x^3 - 9x
Thank you for your help! :)
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! this factors to:
x * (x^2 + 6x + 9) divided by x * (x^2 - 9) which factors to:
x * (x + 3) * (x + 3) divided by x * (x + 3) * (x - 3)
The x in the numerator and denominator cancel out.
The (x + 3) in the numerator and denominator cancel out.
you are left with:
(x + 3) / (x - 3)
that's the simplified equation.
the restrictions come from the original factored equation, which is:
x * (x + 3) * (x + 3) divided by x * (x + 3) * (x - 3)
x in the denominator can't be equal to 0.
x can't be equal to -3, otherwise (x + 3) in the denominator would be equal to 0.
x can't be equal to 3, otherwise (x - 3) in the denominator would be equal to 0.
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