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

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

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factor b^3-64a^3

factor

b^{3} - 64 a^{3}

(b - 4 a) (b^{2} + 4 ba + 16 a^{2})

Solution steps

b^{3} - 64 a^{3}

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

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

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

(- 2 x^{2})^{2}

\frac{1}{4} + \frac{4}{5}

4 \cdot 26

9 - (- 2)

9 - (- 1)

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