Question

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

Answer 1

The answer would be considered c

Answer 2

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,

$\frac{x^3-1}{x^2-1}$

= $\frac{(x-1)(x^2+x+1)}{(x+1)(x-1)}$

= $\frac{x^2+x+1}{x+1}$

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.