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Popular >

factor k^3-27

Solution

factor

k^{3} - 27

Solution

(k - 3) (k^{2} + 3 k + 9)

Solution steps

k^{3} - 27

Rewrite

27

as

3^{3}

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

Apply Difference of Cubes Formula:

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

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

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

3^{2} = 9

= (k - 3) (k^{2} + 3 k + 9)

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Frequently Asked Questions (FAQ)

What is factor k^3-27 ?
The solution to factor k^3-27 is (k-3)(k^2+3k+9)