What is expand (x+y+2)^3 ?

The solution to expand (x+y+2)^3 is x^3+3x^2y+6x^2+3xy^2+12xy+12x+y^3+6y^2+12y+8

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expand (x+y+2)^3

expand

(x + y + 2)^{3}

x^{3} + 3 x^{2} y + 6 x^{2} + 3 x y^{2} + 12 x y + 12 x + y^{3} + 6 y^{2} + 12 y + 8

Solution steps

(x + y + 2)^{3}

Simplify

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

= (x + y + 2) (x + y + 2) (x + y + 2)

Expand

(x + y + 2) (x + y + 2) : x^{2} + 2 x y + 4 x + y^{2} + 4 y + 4

= (x^{2} + 2 x y + 4 x + y^{2} + 4 y + 4) (x + y + 2)

Distribute parentheses

= x^{2} x + x^{2} y + x^{2} \cdot 2 + 2 x y x + 2 x yy + 2 x y \cdot 2 + 4 xx + 4 x y + 4 x \cdot 2 + y^{2} x + y^{2} y + y^{2} \cdot 2 + 4 y x + 4 yy + 4 y \cdot 2 + 4 x + 4 y + 4 \cdot 2

Simplify

x^{2} x + x^{2} y + x^{2} \cdot 2 + 2 x y x + 2 x yy + 2 x y \cdot 2 + 4 xx + 4 x y + 4 x \cdot 2 + y^{2} x + y^{2} y + y^{2} \cdot 2 + 4 y x + 4 yy + 4 y \cdot 2 + 4 x + 4 y + 4 \cdot 2 : x^{3} + 3 x^{2} y + 6 x^{2} + 3 x y^{2} + 12 x y + 12 x + y^{3} + 6 y^{2} + 12 y + 8

= x^{3} + 3 x^{2} y + 6 x^{2} + 3 x y^{2} + 12 x y + 12 x + y^{3} + 6 y^{2} + 12 y + 8

9 x^{2} - 6 b^{2} x - (a^{4} - b^{4})

\frac{( \frac{4}{( x ^{2} - 7 x + 12 )} ) + 3}{( 3 - x )}

79 x^{12} + 12 - 60 x^{12}

4 x^{2} - 9 y^{2} - 4 x - 6 y

2 (x^{2})^{2} - 4 x - 1

What is expand (x+y+2)^3 ?
The solution to expand (x+y+2)^3 is x^3+3x^2y+6x^2+3xy^2+12xy+12x+y^3+6y^2+12y+8