What is y^3+z^3-(y+z)^3 ?

The solution to y^3+z^3-(y+z)^3 is -3y^2z-3yz^2

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simplify y^3+z^3-(y+z)^3

simplify

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

- 3 y^{2} z - 3 y z^{2}

Solution steps

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

Expand

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

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

Group like terms

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

Add similar elements:

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

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

Add similar elements:

z^{3} - z^{3} = 0

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

(3 x + 5 y) 2

\frac{- 1}{2 ( - 3 y + 10 )}

(a + b)^{16}

(a^{b} + b^{a})^{- 1}

1 + 2 x - 8 x^{3} - 16 x^{4}