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

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

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factor (x+y)^3+1

factor

(x + y)^{3} + 1

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

Solution steps

(x + y)^{3} + 1

Rewrite

1

1^{3}

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

Apply Sum of Cubes Formula:

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

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

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

Refine

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

\frac{e ^{2} - 1}{e ^{2}}

88 m^{6} e^{4} - 20 m^{5}

x^{3} - 6 x^{2} + 8 x d x

[x + 3]

w^{2 - 28 w - 72}

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