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Popular >

factor k^3-64

Solution

factor

k^{3} - 64

Solution

(k - 4) (k^{2} + 4 k + 16)

Solution steps

k^{3} - 64

Rewrite

64

as

4^{3}

= k^{3} - 4^{3}

Apply Difference of Cubes Formula:

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

k^{3} - 4^{3} = (k - 4) (k^{2} + 4 k + 4^{2})

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

4^{2} = 16

= (k - 4) (k^{2} + 4 k + 16)

Popular Examples

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2 (2 0.125 + 18)

simplify (6.47+8.604)/(3.37+90.8)simplify

\frac{6.47 + 8.604}{3.37 + 90.8}

\frac{x}{6} + 2 = - 16

simplify-3/8+1/4 simplify

- \frac{3}{8} + \frac{1}{4}

- 12 x + 8 + 5 x = 36

Frequently Asked Questions (FAQ)

What is factor k^3-64 ?
The solution to factor k^3-64 is (k-4)(k^2+4k+16)