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

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

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

simplify

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

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

Solution steps

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

Expand

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

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

Group like terms

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

Add similar elements:

x^{3} - x^{3} = 0

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

Add similar elements:

- y^{3} + y^{3} = 0

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

f (x) + h (x) 3 x^{3} + 5 x^{2} - 2 x + 7 + x^{4} - 2 x^{3} + 8 x - 14

14 x^{3} + 9 x^{2} - 4

\frac{( 18 x + 15 )}{3}

a^{3} - \frac{1}{( a ^{3} )} - 2 a + \frac{2}{a}

\frac{( x ^{2} - 2 x - 3 )}{( x - 3 )}