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(6x^(2)-x+1)/((3x-1)(x+1)) in the forn

xpress 6x2x+1(3x1)(x+1) \frac{6 x^{2}-x+1}{(3 x-1)(x+1)} in the forn

Full solution

Q. xpress 6x2x+1(3x1)(x+1) \frac{6 x^{2}-x+1}{(3 x-1)(x+1)} in the forn
  1. Factor Numerator: Factor the numerator if possible to see if it can be simplified with the denominator.\newline6x2x+16x^2 - x + 1 does not factor nicely, so we can't simplify it with the denominator.
  2. Factor Denominator: Now, let's look at the denominator (3x1)(x+1)(3x-1)(x+1) and check if it can be factored or simplified.\newlineThe denominator is already factored, so we can't simplify it further.
  3. 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.\newlineSo, (6x2x+1)/((3x1)(x+1))(6x^{2}-x+1)/((3x-1)(x+1)) is the final answer.

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