Question

Сократите дробь:x^2 - 2x+1 / x-1 

Answer 1

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Answer 2

To simplify the given fraction (x^2 - 2x + 1) / (x - 1), we can factor the numerator and then cancel out any common factors in the numerator and denominator.

Step 1: Factor the numerator (x^2 - 2x + 1) The numerator is a perfect square trinomial and can be factored as (x - 1)^2.

Step 2: Cancel out common factors Now, we have the fraction ((x - 1)^2) / (x - 1). Notice that (x - 1) is a common factor in both the numerator and the denominator. Therefore, we can cancel it out, leaving us with the simplified fraction:

(x - 1)^2 / (x - 1) = (x - 1)

So, the simplified form of the fraction is (x - 1).