What is factor x^6+x^3-y^6-y^3 ?

The solution to factor x^6+x^3-y^6-y^3 is (x-y)(x^2+xy+y^2)(x^3+y^3+1)

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factor x^6+x^3-y^6-y^3

factor

x^{6} + x^{3} - y^{6} - y^{3}

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

Solution steps

x^{6} + x^{3} - y^{6} - y^{3}

Factor

x^{6} - y^{6} : (x + y) (x^{2} - x y + y^{2}) (x - y) (x^{2} + x y + y^{2})

Factor

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

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

Factor out common term

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

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

Expand

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

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

(a - 11) (a + 11)

(2 x + 3) (x + 9)

(u^{7})^{- 4}

- arctan (\frac{- e ^{x}}{4})

(7 w + 5) (7 w - 7 u + 3)

What is factor x^6+x^3-y^6-y^3 ?
The solution to factor x^6+x^3-y^6-y^3 is (x-y)(x^2+xy+y^2)(x^3+y^3+1)