Question

Y=(x^2-5x+6)(x^2+x-2)/x^2-4x+3

Answer 1

Решение прикреплено. Удачи

Answer 2

To simplify the given expression, let's factor all the polynomials and then cancel out any common factors. Here's the step-by-step process:

1. Factor the numerator: Y = [(x^2 - 5x + 6)(x^2 + x - 2)] / (x^2 - 4x + 3)

   The numerator can be factored as follows: Y = [(x - 2)(x - 3)(x^2 + x - 2)] / (x^2 - 4x + 3)

2. Factor the denominator: Y = [(x - 2)(x - 3)(x^2 + x - 2)] / [(x - 3)(x - 1)]

3. Cancel out the common factor (x - 3) in the numerator and denominator: Y = (x - 2)(x^2 + x - 2) / (x - 1)

Now, the expression Y is simplified to (x - 2)(x^2 + x - 2) / (x - 1).