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

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

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factor b^3-64z^3

factor

b^{3} - 64 z^{3}

(b - 4 z) (b^{2} + 4 b z + 16 z^{2})

Solution steps

b^{3} - 64 z^{3}

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

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

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

- 16 - 24

\frac{22}{18}

25 y^{2} - 90 y + 81

\frac{1}{2} + (- \frac{5}{2})

\frac{2}{12} + \frac{2}{4}

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