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

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

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

factor

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

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

Solution steps

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

Apply Difference of Cubes Formula:

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

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

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

Refine

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

6 a c - 3 c + 2 a d - d

t^{2} + 12 t + 25

e^{2} + e

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

128 + 64 e^{16} t + 64 e - 16 t

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