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

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

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factor a^3-64b^3

factor

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

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

Solution steps

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

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

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

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

(81 m^{6})^{\frac{1}{2}}

\frac{3}{2 i}

(2 + 3 i)^{2}

2 a x - b y - a y + 2 b x

5 \cdot 10

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