Question

Сократите дробь: (3x^2-9x) : (x^2-6x+9)

Answer 1

3х(х-3)/(х-3)²=3х/х-3

Answer 2

Ответ:

3х/(х - 3).

Объяснение:

(3x^2-9x) : (x^2-6x+9) = 3х(х - 3)/(х - 3)^2 = 3х/(х-3).

Answer 3

To simplify the given fraction, we'll first factor both the numerator and the denominator and then cancel out common factors:

Numerator: 3x^2 - 9x Factor out common factor 3x: 3x(x - 3)

Denominator: x^2 - 6x + 9 This is a perfect square trinomial: (x - 3)^2

Now, we can cancel out the common factor in the numerator and denominator:

(3x^2 - 9x) / (x^2 - 6x + 9) = (3x(x - 3)) / ((x - 3)^2)

The simplified form of the fraction is (3x(x - 3)) / ((x - 3)^2).