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Popular >

factor k^3-8

Solution

factor

k^{3} - 8

Solution

(k - 2) (k^{2} + 2 k + 4)

Solution steps

k^{3} - 8

Rewrite

8

as

2^{3}

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

Apply Difference of Cubes Formula:

x^{3} - y^{3} = (x - y) (x^{2} + x y + y^{2})

k^{3} - 2^{3} = (k - 2) (k^{2} + 2 k + 2^{2})

= (k - 2) (k^{2} + 2 k + 2^{2})

2^{2} = 4

= (k - 2) (k^{2} + 2 k + 4)

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Frequently Asked Questions (FAQ)

What is factor k^3-8 ?
The solution to factor k^3-8 is (k-2)(k^2+2k+4)