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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 Sum 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

2 x^{2} + 6 x - 4 = 0

x^{2} = 12 - x

simplify (14x^8y^7)/(7xy^8)simplify

\frac{14 x ^{8} y ^{7}}{7 x y ^{8}}

simplify 2*4/3 simplify

2 \cdot \frac{4}{3}

simplify 1/16+1/3 simplify

\frac{1}{16} + \frac{1}{3}

Frequently Asked Questions (FAQ)

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