What is factor 512a^3-27 ?

The solution to factor 512a^3-27 is (8a-3)(64a^2+24a+9)

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factor 512a^3-27

factor

512 a^{3} - 27

(8 a - 3) (64 a^{2} + 24 a + 9)

Solution steps

512 a^{3} - 27

Apply exponent rules

= (8 a)^{3} - 3^{3}

Apply Difference of Cubes Formula:

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

(8 a)^{3} - 3^{3} = (8 a - 3) (8^{2} a^{2} + 3 \cdot 8 a + 3^{2})

= (8 a - 3) (8^{2} a^{2} + 3 \cdot 8 a + 3^{2})

Simplify

(8 a - 3) (8^{2} a^{2} + 3 \cdot 8 a + 3^{2}) : (8 a - 3) (64 a^{2} + 24 a + 9)

= (8 a - 3) (64 a^{2} + 24 a + 9)

x^{2} - 21 x + 54

b + 4 b - 9 b

\frac{2}{1 ^{3}}

4 x^{3} + 23 x^{2} + 34 x - 10

(x - 5) (x - 5)

What is factor 512a^3-27 ?
The solution to factor 512a^3-27 is (8a-3)(64a^2+24a+9)