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

The solution to expand (x^2-3y)^3 is x^6-9x^4y+27x^2y^2-27y^3

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expand (x^2-3y)^3

expand

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

x^{6} - 9 x^{4} y + 27 x^{2} y^{2} - 27 y^{3}

Solution steps

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

Apply Perfect Cube Formula:

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

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

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

Simplify

(x^{2})^{3} - 3 (x^{2})^{2} \cdot 3 y + 3 x^{2} (3 y)^{2} - (3 y)^{3} : x^{6} - 9 x^{4} y + 27 x^{2} y^{2} - 27 y^{3}

= x^{6} - 9 x^{4} y + 27 x^{2} y^{2} - 27 y^{3}

(2 n + 1)^{3}

(9 x^{2} - 5 x) - (- 3 x - 8)

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

\frac{1}{2} \cdot (- 3)

\frac{x ^{3} + 1}{x + 1}

What is expand (x^2-3y)^3 ?
The solution to expand (x^2-3y)^3 is x^6-9x^4y+27x^2y^2-27y^3