What is x^3-8y^3+(x-y)^3-y^3 ?

The solution to x^3-8y^3+(x-y)^3-y^3 is 2x^3-10y^3-3x^2y+3xy^2

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simplify x^3-8y^3+(x-y)^3-y^3

simplify

x^{3} - 8 y^{3} + (x - y)^{3} - y^{3}

2 x^{3} - 10 y^{3} - 3 x^{2} y + 3 x y^{2}

Solution steps

x^{3} - 8 y^{3} + (x - y)^{3} - y^{3}

Group like terms

= x^{3} - 8 y^{3} - y^{3} + (x - y)^{3}

Add similar elements:

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

= 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} = - 10 y^{3}

= 2 x^{3} - 10 y^{3} - 3 x^{2} y + 3 x y^{2}

3 (2 x - 1) (x + 4) - (2 x - 1)^{2}

sin (9 0^{\circ}) - a

\frac{{ ( x - \frac{1}{2} ) ^{2} - \frac{21}{4} }}{( x - 1 - \frac{2}{x} )}

\frac{- 9 - 3 x ( - 3 ) + [ - 3 + 11 x ( - 3 ) ]}{2}

12 x^{5} y^{3} - 4 x^{2} y^{2}

What is x^3-8y^3+(x-y)^3-y^3 ?
The solution to x^3-8y^3+(x-y)^3-y^3 is 2x^3-10y^3-3x^2y+3xy^2