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Popular >

expand (k-5)^3

Solution

expand

(k - 5)^{3}

Solution

k^{3} - 15 k^{2} + 75 k - 125

Solution steps

(k - 5)^{3}

Apply Perfect Cube Formula:

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

(k - 5)^{3} = k^{3} - 3 k^{2} \cdot 5 + 3 k \cdot 5^{2} - 5^{3}

= k^{3} - 3 k^{2} \cdot 5 + 3 k \cdot 5^{2} - 5^{3}

Simplify

k^{3} - 3 k^{2} \cdot 5 + 3 k \cdot 5^{2} - 5^{3} : k^{3} - 15 k^{2} + 75 k - 125

= k^{3} - 15 k^{2} + 75 k - 125

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Frequently Asked Questions (FAQ)

What is expand (k-5)^3 ?
The solution to expand (k-5)^3 is k^3-15k^2+75k-125