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

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

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

factor

x^{3} + 2 x^{2} \cdot 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)

(x y^{4})^{3}

(\frac{x ^{- 3}}{y ^{4}})^{- 5}

m + t \frac{1}{2} \cdot j \cdot (- \frac{3}{4}) \cdot j \cdot \frac{15}{65}

- 5 - 2 x

\frac{4 x ( 5 + 5 ^{3} )}{36 + ( 6 - 2 )}

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