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Popular >

factor z^3-216

Solution

factor

z^{3} - 216

Solution

(z - 6) (z^{2} + 6 z + 36)

Solution steps

z^{3} - 216

Rewrite

216

as

6^{3}

= z^{3} - 6^{3}

Apply Difference of Cubes Formula:

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

z^{3} - 6^{3} = (z - 6) (z^{2} + 6 z + 6^{2})

= (z - 6) (z^{2} + 6 z + 6^{2})

6^{2} = 36

= (z - 6) (z^{2} + 6 z + 36)

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Frequently Asked Questions (FAQ)

What is factor z^3-216 ?
The solution to factor z^3-216 is (z-6)(z^2+6z+36)