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Popular >

expand (-y^2-1)^3

Solution

expand

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

Solution

- y^{6} - 3 y^{4} - 3 y^{2} - 1

Solution steps

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

Apply Perfect Cube Formula:

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

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

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

Simplify

(- y^{2})^{3} - 3 (- y^{2})^{2} \cdot 1 + 3 (- y^{2}) \cdot 1^{2} - 1^{3} : - y^{6} - 3 y^{4} - 3 y^{2} - 1

= - y^{6} - 3 y^{4} - 3 y^{2} - 1

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Frequently Asked Questions (FAQ)

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