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Popular >

expand (k-6)^3

Solution

expand

(k - 6)^{3}

Solution

k^{3} - 18 k^{2} + 108 k - 216

Solution steps

(k - 6)^{3}

Apply Perfect Cube Formula:

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

(k - 6)^{3} = k^{3} - 3 k^{2} \cdot 6 + 3 k \cdot 6^{2} - 6^{3}

= k^{3} - 3 k^{2} \cdot 6 + 3 k \cdot 6^{2} - 6^{3}

Simplify

k^{3} - 3 k^{2} \cdot 6 + 3 k \cdot 6^{2} - 6^{3} : k^{3} - 18 k^{2} + 108 k - 216

= k^{3} - 18 k^{2} + 108 k - 216

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Frequently Asked Questions (FAQ)

What is expand (k-6)^3 ?
The solution to expand (k-6)^3 is k^3-18k^2+108k-216