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

The solution to expand 1+(x+y)^3 is 1+x^3+3x^2y+3xy^2+y^3

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expand 1+(x+y)^3

expand

1 + (x + y)^{3}

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

Solution steps

1 + (x + y)^{3}

Apply Perfect Cube Formula:

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

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

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

x^{6} \cdot x^{- 5} \cdot x^{- 7}

4 (3 b)

(3 x^{6}) (- 5 x^{8} x^{4})

(- 3 - 5 i) (7 - 9 i)

3 - (- 10)

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