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

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

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

factor

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

(x + 2 y) (x + 1) (x - 1)

Solution steps

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

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

Factor out

x^{2}

from

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

Factor out

- 1

from

- x - 2 y : - (x + 2 y)

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

Factor out common term

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

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

Factor

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

= (x + 2 y) (x + 1) (x - 1)

- 6 x - 20 = 1 - 3 x

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

(\frac{8}{125})^{- \frac{4}{3}}

2 x^{2} - 32

9 x - 1 < \frac{3}{4} (16 x - 2)

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