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Popular >

factor z^3+27q^3

Solution

factor

z^{3} + 27 q^{3}

Solution

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

Solution steps

z^{3} + 27 q^{3}

Apply exponent rules

= z^{3} + (3 q)^{3}

Apply Sum of Cubes Formula:

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

z^{3} + (3 q)^{3} = (z + 3 q) (z^{2} - z \cdot 3 q + (3 q)^{2})

= (z + 3 q) (z^{2} - z \cdot 3 q + (3 q)^{2})

Simplify

z^{2} - z \cdot 3 q + (3 q)^{2} : z^{2} - 3 z q + 9 q^{2}

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

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Frequently Asked Questions (FAQ)

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