What is factor 64a^3-27 ?

The solution to factor 64a^3-27 is (4a-3)(16a^2+12a+9)

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factor 64a^3-27

factor

64 a^{3} - 27

(4 a - 3) (16 a^{2} + 12 a + 9)

Solution steps

64 a^{3} - 27

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

(4 a - 3) (4^{2} a^{2} + 3 \cdot 4 a + 3^{2}) : (4 a - 3) (16 a^{2} + 12 a + 9)

= (4 a - 3) (16 a^{2} + 12 a + 9)

lo g_{\frac{2}{3}} (\frac{27}{8})

\frac{8}{9} \div \frac{4}{3}

4 \cdot 3

(\frac{1}{2} x^{2} - \frac{1}{2 x ^{2}})^{2}

4 (2 x - 3)

What is factor 64a^3-27 ?
The solution to factor 64a^3-27 is (4a-3)(16a^2+12a+9)