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Popular >

expand (n-2)^3

Solution

expand

(n - 2)^{3}

Solution

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

Solution steps

(n - 2)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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