Factor Numerator: Factor the numerator if possible to see if it can be simplified with the denominator.6x2−x+1 does not factor nicely, so we can't simplify it with the denominator.
Factor Denominator: Now, let's look at the denominator (3x−1)(x+1) and check if it can be factored or simplified.The denominator is already factored, so we can't simplify it further.
Final Simplified Expression: Since the numerator cannot be factored to cancel out any terms with the denominator, the expression is already in its simplest form.So, (6x2−x+1)/((3x−1)(x+1)) is the final answer.
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