What is factor x^3-3x^2y-x+3y ?

The solution to factor x^3-3x^2y-x+3y is (x-3y)(x+1)(x-1)

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factor x^3-3x^2y-x+3y

factor

x^{3} - 3 x^{2} y - x + 3 y

(x - 3 y) (x + 1) (x - 1)

Solution steps

x^{3} - 3 x^{2} y - x + 3 y

= (x^{3} - 3 x^{2} y) + (3 y - x)

Factor out

x^{2}

from

x^{3} - 3 x^{2} y : x^{2} (x - 3 y)

= x^{2} (x - 3 y) + (3 y - x)

3 y - x = - (x - 3 y)

= x^{2} (x - 3 y) - (x - 3 y)

Factor out common term

(x - 3 y) : (x - 3 y) (x^{2} - 1)

= (x - 3 y) (x^{2} - 1)

Factor

x^{2} - 1 : (x + 1) (x - 1)

= (x - 3 y) (x + 1) (x - 1)

60 + \frac{3}{5} (178 - 60)

a^{2} = 5^{2} + 1 3^{2}

(- 8)^{\frac{1}{3}}

(x - 2)^{2} = 18

What is factor x^3-3x^2y-x+3y ?
The solution to factor x^3-3x^2y-x+3y is (x-3y)(x+1)(x-1)