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

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

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

factor

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

x^{3} + 6 x^{2} y + 6 x y^{2} - 3 x y + y^{3} - 1

Solution steps

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

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

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

Expand

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

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

Simplify

x^{3} + 3 x^{2} y + 3 x y^{2} + y^{3} - 3 x y + 3 x^{2} y + 3 x y^{2} - 1 : x^{3} + 6 x^{2} y + 6 x y^{2} - 3 x y + y^{3} - 1

= x^{3} + 6 x^{2} y + 6 x y^{2} - 3 x y + y^{3} - 1

a + (- r) + (2)

e^{t} cos (t) - e^{t} sin (t)

2 8^{2}

x + (- 1)

5 y^{- 1} + 7 y^{- 7}

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