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

The solution to expand (x^3-y)^3 is x^9-3x^6y+3x^3y^2-y^3

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expand (x^3-y)^3

expand

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

x^{9} - 3 x^{6} y + 3 x^{3} y^{2} - y^{3}

Solution steps

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

Apply Perfect Cube Formula:

(a - b)^{3} = a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3}

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

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

Simplify

(x^{3})^{3} - 3 (x^{3})^{2} y + 3 x^{3} y^{2} - y^{3} : x^{9} - 3 x^{6} y + 3 x^{3} y^{2} - y^{3}

= x^{9} - 3 x^{6} y + 3 x^{3} y^{2} - y^{3}

- 2 - 4 (x - 1) + x

320 x + 9600 - 4 x^{2}

(1 + n)^{9}

2 (\frac{5 x - ( 1 )}{( x )})^{2} - 3 (\frac{5 x - ( 1 )}{( x )}) - 2

\frac{( 4 0 ^{55} ) ^{'} 5 3 ^{^{''}} n}{( 7 1 ^{53} ) ^{'} 1 ^{^{''}} e}

What is expand (x^3-y)^3 ?
The solution to expand (x^3-y)^3 is x^9-3x^6y+3x^3y^2-y^3