What is factor z^3-64s^3 ?

The solution to factor z^3-64s^3 is (z-4s)(z^2+4zs+16s^2)

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factor z^3-64s^3

factor

z^{3} - 64 s^{3}

(z - 4 s) (z^{2} + 4 zs + 16 s^{2})

Solution steps

z^{3} - 64 s^{3}

Apply exponent rules

= z^{3} - (4 s)^{3}

Apply Difference of Cubes Formula:

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

z^{3} - (4 s)^{3} = (z - 4 s) (z^{2} + z \cdot 4 s + (4 s)^{2})

= (z - 4 s) (z^{2} + z \cdot 4 s + (4 s)^{2})

Simplify

z^{2} + z \cdot 4 s + (4 s)^{2} : z^{2} + 4 zs + 16 s^{2}

= (z - 4 s) (z^{2} + 4 zs + 16 s^{2})

3 (2 x + 5)

\frac{1}{\frac{1}{3}}

3 - 15

\frac{4 x ^{2} - 9}{3 x ^{2} - 19 x - 14} \cdot \frac{2 x - 14}{2 x - 3}

2 b + 8

What is factor z^3-64s^3 ?
The solution to factor z^3-64s^3 is (z-4s)(z^2+4zs+16s^2)