What is expand (-2x^2-1)^3 ?

The solution to expand (-2x^2-1)^3 is -8x^6-12x^4-6x^2-1

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expand (-2x^2-1)^3

expand

(- 2 x^{2} - 1)^{3}

- 8 x^{6} - 12 x^{4} - 6 x^{2} - 1

Solution steps

(- 2 x^{2} - 1)^{3}

Apply Perfect Cube Formula:

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

(- 2 x^{2} - 1)^{3} = (- 2 x^{2})^{3} - 3 (- 2 x^{2})^{2} \cdot 1 + 3 (- 2 x^{2}) \cdot 1^{2} - 1^{3}

= (- 2 x^{2})^{3} - 3 (- 2 x^{2})^{2} \cdot 1 + 3 (- 2 x^{2}) \cdot 1^{2} - 1^{3}

Simplify

(- 2 x^{2})^{3} - 3 (- 2 x^{2})^{2} \cdot 1 + 3 (- 2 x^{2}) \cdot 1^{2} - 1^{3} : - 8 x^{6} - 12 x^{4} - 6 x^{2} - 1

= - 8 x^{6} - 12 x^{4} - 6 x^{2} - 1

- 4 x^{3} + 44 x^{2} + 48 x

(3 x^{2} - 5 x - 2) (4 x^{2} - 2 x + 3)

5 - \frac{6}{5}

\frac{( 2.99 ) ^{2} - 9}{( 2.99 ) - 3}

x^{4} y^{3} - x^{5} y^{3}

What is expand (-2x^2-1)^3 ?
The solution to expand (-2x^2-1)^3 is -8x^6-12x^4-6x^2-1