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Popular >

expand (u-2)^3

Solution

expand

(u - 2)^{3}

Solution

u^{3} - 6 u^{2} + 12 u - 8

Solution steps

(u - 2)^{3}

Apply Perfect Cube Formula:

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

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

= u^{3} - 3 u^{2} \cdot 2 + 3 u \cdot 2^{2} - 2^{3}

Simplify

u^{3} - 3 u^{2} \cdot 2 + 3 u \cdot 2^{2} - 2^{3} : u^{3} - 6 u^{2} + 12 u - 8

= u^{3} - 6 u^{2} + 12 u - 8

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Frequently Asked Questions (FAQ)

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