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Popular >

expand (k-1)^3

Solution

expand

(k - 1)^{3}

Solution

k^{3} - 3 k^{2} + 3 k - 1

Solution steps

(k - 1)^{3}

Apply Perfect Cube Formula:

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

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

= k^{3} - 3 k^{2} \cdot 1 + 3 k \cdot 1^{2} - 1^{3}

Simplify

k^{3} - 3 k^{2} \cdot 1 + 3 k \cdot 1^{2} - 1^{3} : k^{3} - 3 k^{2} + 3 k - 1

= k^{3} - 3 k^{2} + 3 k - 1

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Frequently Asked Questions (FAQ)

What is expand (k-1)^3 ?
The solution to expand (k-1)^3 is k^3-3k^2+3k-1