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Popular >

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

Solution

expand

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

Solution

- 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

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Frequently Asked Questions (FAQ)

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