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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 Sum 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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\frac{r - 9}{2} \geq - 2

Frequently Asked Questions (FAQ)

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