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

3 a y - 7 a b^{2} - 7 b^{2} y + 3 a^{2}

a x + a y + 6 x + 6 y

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

am - a z - m z + m^{2}

(4 x) - 1

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)