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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

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\frac{380}{19000}

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81 x + x^{7}

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(7 + 3 i) + 2 + (5 - 6 i)

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\frac{16}{( - 2 )}

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\frac{1}{k} + \frac{1}{k}

Frequently Asked Questions (FAQ)

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