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Popular >

expand (u^2-1)^3

Solution

expand

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

Solution

u^{6} - 3 u^{4} + 3 u^{2} - 1

Solution steps

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

Apply Perfect Cube Formula:

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

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

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

Simplify

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

= u^{6} - 3 u^{4} + 3 u^{2} - 1

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Frequently Asked Questions (FAQ)

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