What is the simplified form of (4t^2-5t+3)/(2t^2-t+1)

Answer 1

To simplify the rational expression, first factorize the numerator and denominator:

Numerator: 4t^2 - 5t + 3 = (4t - 3)(t - 1)
Denominator: 2t^2 - t + 1

Now, rewrite the expression as:

(4t - 3)(t - 1) / (2t^2 - t + 1)

Therefore, the simplified form of the expression is:

(4t - 3)(t - 1) / (2t^2 - t + 1)