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Popular >

factor z^3+27

Solution

factor

z^{3} + 27

Solution

(z + 3) (z^{2} - 3 z + 9)

Solution steps

z^{3} + 27

Rewrite

27

as

3^{3}

= z^{3} + 3^{3}

Apply Sum of Cubes Formula:

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

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

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

3^{2} = 9

= (z + 3) (z^{2} - 3 z + 9)

Popular Examples

(u+158)/(125)>= 1

\frac{u + 158}{125} \geq 1

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64 - x^{6}

(7-2x)/4 =(3(x+5))/9

\frac{7 - 2 x}{4} = \frac{3 ( x + 5 )}{9}

6 n + 7 = 2 n + 5

Frequently Asked Questions (FAQ)

What is factor z^3+27 ?
The solution to factor z^3+27 is (z+3)(z^2-3z+9)