What is expand (8x^2-6y^3)^3 ?

The solution to expand (8x^2-6y^3)^3 is 512x^6-1152x^4y^3+864x^2y^6-216y^9

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expand (8x^2-6y^3)^3

expand

(8 x^{2} - 6 y^{3})^{3}

512 x^{6} - 1152 x^{4} y^{3} + 864 x^{2} y^{6} - 216 y^{9}

Solution steps

(8 x^{2} - 6 y^{3})^{3}

Apply Perfect Cube Formula:

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

(8 x^{2} - 6 y^{3})^{3} = (8 x^{2})^{3} - 3 (8 x^{2})^{2} \cdot 6 y^{3} + 3 \cdot 8 x^{2} (6 y^{3})^{2} - (6 y^{3})^{3}

= (8 x^{2})^{3} - 3 (8 x^{2})^{2} \cdot 6 y^{3} + 3 \cdot 8 x^{2} (6 y^{3})^{2} - (6 y^{3})^{3}

Simplify

(8 x^{2})^{3} - 3 (8 x^{2})^{2} \cdot 6 y^{3} + 3 \cdot 8 x^{2} (6 y^{3})^{2} - (6 y^{3})^{3} : 512 x^{6} - 1152 x^{4} y^{3} + 864 x^{2} y^{6} - 216 y^{9}

= 512 x^{6} - 1152 x^{4} y^{3} + 864 x^{2} y^{6} - 216 y^{9}

(- 1) (1)

(w - 3)^{5} - (w - 3)^{2}

(- 7 - 10 i) + (- 4 + 2 i)

- \frac{4}{6} \cdot 0.4

What is expand (8x^2-6y^3)^3 ?
The solution to expand (8x^2-6y^3)^3 is 512x^6-1152x^4y^3+864x^2y^6-216y^9