What is expand (x^2-y^3)^3 ?

The solution to expand (x^2-y^3)^3 is x^6-3x^4y^3+3x^2y^6-y^9

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expand (x^2-y^3)^3

expand

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

x^{6} - 3 x^{4} y^{3} + 3 x^{2} y^{6} - y^{9}

Solution steps

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

Apply Perfect Cube Formula:

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

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

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

Simplify

(x^{2})^{3} - 3 (x^{2})^{2} y^{3} + 3 x^{2} (y^{3})^{2} - (y^{3})^{3} : x^{6} - 3 x^{4} y^{3} + 3 x^{2} y^{6} - y^{9}

= x^{6} - 3 x^{4} y^{3} + 3 x^{2} y^{6} - y^{9}

a^{4} \cdot (- b)

\frac{2 18}{5}

- [3 x - 2 y + (x - 2 y) - 2 (x + y) - 3 (2 x + 1)]

30 x^{2} - x - 20

\frac{95}{3}

What is expand (x^2-y^3)^3 ?
The solution to expand (x^2-y^3)^3 is x^6-3x^4y^3+3x^2y^6-y^9