What is factor y^3-(x+1)^3 ?

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

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

factor

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

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

Solution steps

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

Apply Difference of Cubes Formula:

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

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

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

Refine

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

2 m x + 4 b x + 3 m y + 6 b y

x^{2} - 11 + 28

3 x + x z - 39 y - 13 yz

8 a x + 4 a y - 6 b x - 3 b y

(- 2 + 2 i)^{\frac{1}{3}}

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