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

The solution to expand (2x^2-3y^3)^3 is 8x^6-36x^4y^3+54x^2y^6-27y^9

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

expand

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

8 x^{6} - 36 x^{4} y^{3} + 54 x^{2} y^{6} - 27 y^{9}

Solution steps

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

Apply Perfect Cube Formula:

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

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

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

Simplify

(2 x^{2})^{3} - 3 (2 x^{2})^{2} \cdot 3 y^{3} + 3 \cdot 2 x^{2} (3 y^{3})^{2} - (3 y^{3})^{3} : 8 x^{6} - 36 x^{4} y^{3} + 54 x^{2} y^{6} - 27 y^{9}

= 8 x^{6} - 36 x^{4} y^{3} + 54 x^{2} y^{6} - 27 y^{9}

\frac{5}{6 2}

(p - 4 t) + (3 t - 8 p) + (11 p + 5 t)

0.2 \cdot 0.2 \cdot 0.2

9 m^{2} - 1

(32)^{\frac{- 2}{5}}

What is expand (2x^2-3y^3)^3 ?
The solution to expand (2x^2-3y^3)^3 is 8x^6-36x^4y^3+54x^2y^6-27y^9