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Popular >

expand (-x^2-2)^3

Solution

expand

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

Solution

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

Solution steps

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

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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