To simplify the expression 2x^2 + x - 3 / x^2 - 2x + 1, we first factor the numerator and denominator.
Numerator: 2x^2 + x - 3 can be factored as (2x - 1)(x + 3)Denominator: x^2 - 2x + 1 can be factored as (x - 1)^2
So, the expression becomes:
(2x - 1)(x + 3) / (x - 1)^2
Therefore, the simplified expression is (2x - 1)(x + 3) / (x - 1)^2
To simplify the expression 2x^2 + x - 3 / x^2 - 2x + 1, we first factor the numerator and denominator.
Numerator: 2x^2 + x - 3 can be factored as (2x - 1)(x + 3)
Denominator: x^2 - 2x + 1 can be factored as (x - 1)^2
So, the expression becomes:
(2x - 1)(x + 3) / (x - 1)^2
Therefore, the simplified expression is (2x - 1)(x + 3) / (x - 1)^2