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Popular >

factor z^3-1

Solution

factor

z^{3} - 1

Solution

(z - 1) (z^{2} + z + 1)

Solution steps

z^{3} - 1

Rewrite

1

as

1^{3}

= z^{3} - 1^{3}

Apply Difference of Cubes Formula:

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

z^{3} - 1^{3} = (z - 1) (z^{2} + z + 1)

= (z - 1) (z^{2} + z + 1)

Popular Examples

\frac{116500}{12}

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4 (a + h)^{2}

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6 i^{3} - 4 i^{5}

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27 - 102

simplify (3+h)^{-1}-3^{-1}simplify

(3 + h)^{- 1} - 3^{- 1}

Frequently Asked Questions (FAQ)

What is factor z^3-1 ?
The solution to factor z^3-1 is (z-1)(z^2+z+1)