What is factor p^3-27z^3 ?

The solution to factor p^3-27z^3 is (p-3z)(p^2+3pz+9z^2)

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factor p^3-27z^3

factor

p^{3} - 27 z^{3}

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

Solution steps

p^{3} - 27 z^{3}

Apply exponent rules

= p^{3} - (3 z)^{3}

Apply Difference of Cubes Formula:

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

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

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

Simplify

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

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

\frac{81}{( - 9 )}

4 - 3 [6 - (3 y - 2)]

x^{3} \cdot x^{3}

∣ - 4 + 2 ∣

(9)^{\frac{2}{3}}

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