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Does the expression x^3-1/x^2-1 simplify to x?

No, because x3 – 1 can be factored as x(x2 – x + 1) and x2 – 1 can be factored as x(x – 1), so only x can be canceled.
Yes, because x3(x – 1) can be factored as x2(x – 1) and x2 – 1 can be factored as x(x – 1), so (x – 1) can be canceled.
No, because the –1 in the numerator and denominator is not a common factor and cannot be canceled.
Yes, because –1 in the numerator and denominator is a common factor and can be canceled.

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OffBrandS
the answer would be considered c

Answer: No,  because the –1 in the numerator and denominator is not a common factor and cannot be canceled.

Step-by-step explanation:

Since, the given expression,

[tex]\frac{x^3-1}{x^2-1}[/tex]

= [tex]\frac{(x-1)(x^2+x+1)}{(x+1)(x-1)}[/tex]

= [tex]\frac{x^2+x+1}{x+1}[/tex]

Thus we can not further simplify the above expression.

Because, There is not any common factor in the numerator and denominator.

Thus, Option C) is correct.



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