What is x^3-9y^3+(x+y)^3 ?

The solution to x^3-9y^3+(x+y)^3 is 2x^3-8y^3+3x^2y+3xy^2

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simplify x^3-9y^3+(x+y)^3

simplify

x^{3} - 9 y^{3} + (x + y)^{3}

2 x^{3} - 8 y^{3} + 3 x^{2} y + 3 x y^{2}

Solution steps

x^{3} - 9 y^{3} + (x + y)^{3}

Expand

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

= x^{3} - 9 y^{3} + x^{3} + 3 x^{2} y + 3 x y^{2} + y^{3}

Group like terms

= x^{3} + x^{3} - 9 y^{3} + y^{3} + 3 x^{2} y + 3 x y^{2}

Add similar elements:

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

= 2 x^{3} - 9 y^{3} + y^{3} + 3 x^{2} y + 3 x y^{2}

Add similar elements:

- 9 y^{3} + y^{3} = - 8 y^{3}

= 2 x^{3} - 8 y^{3} + 3 x^{2} y + 3 x y^{2}

12 x^{3} - 5 x^{2} + 1

5 y + 2 - 3 y

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

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

\frac{3}{( x ^{2} + 3 x )} - \frac{1}{x} - \frac{6}{( x ^{2} - 9 )}

What is x^3-9y^3+(x+y)^3 ?
The solution to x^3-9y^3+(x+y)^3 is 2x^3-8y^3+3x^2y+3xy^2