What is expand (2x^3-9)^3 ?

The solution to expand (2x^3-9)^3 is 8x^9-108x^6+486x^3-729

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expand (2x^3-9)^3

expand

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

8 x^{9} - 108 x^{6} + 486 x^{3} - 729

Solution steps

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

Apply Perfect Cube Formula:

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

(2 x^{3} - 9)^{3} = (2 x^{3})^{3} - 3 (2 x^{3})^{2} \cdot 9 + 3 \cdot 2 x^{3} \cdot 9^{2} - 9^{3}

= (2 x^{3})^{3} - 3 (2 x^{3})^{2} \cdot 9 + 3 \cdot 2 x^{3} \cdot 9^{2} - 9^{3}

Simplify

(2 x^{3})^{3} - 3 (2 x^{3})^{2} \cdot 9 + 3 \cdot 2 x^{3} \cdot 9^{2} - 9^{3} : 8 x^{9} - 108 x^{6} + 486 x^{3} - 729

= 8 x^{9} - 108 x^{6} + 486 x^{3} - 729

- 2 - 21

\frac{( x + a ) ^{2} - x ^{2}}{a}

(5 w^{3} y - 7 w)^{2}

(5 - - 24) (5 + - 24)

10 (- 4 n - n - 5) - 3 n

What is expand (2x^3-9)^3 ?
The solution to expand (2x^3-9)^3 is 8x^9-108x^6+486x^3-729