What is factor 64a^3-729 ?

The solution to factor 64a^3-729 is (4a-9)(16a^2+36a+81)

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factor 64a^3-729

factor

64 a^{3} - 729

(4 a - 9) (16 a^{2} + 36 a + 81)

Solution steps

64 a^{3} - 729

Apply exponent rules

= (4 a)^{3} - 9^{3}

Apply Difference of Cubes Formula:

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

(4 a)^{3} - 9^{3} = (4 a - 9) (4^{2} a^{2} + 9 \cdot 4 a + 9^{2})

= (4 a - 9) (4^{2} a^{2} + 9 \cdot 4 a + 9^{2})

Simplify

(4 a - 9) (4^{2} a^{2} + 9 \cdot 4 a + 9^{2}) : (4 a - 9) (16 a^{2} + 36 a + 81)

= (4 a - 9) (16 a^{2} + 36 a + 81)

2 + \frac{4}{3}

8275

\frac{x - 2}{2 x - 5} < 0

5 a x^{2} - 5 x + 3 x^{3} - 3 x^{2}

x^{2} + 7 x + 26 = - 5 x + 6

What is factor 64a^3-729 ?
The solution to factor 64a^3-729 is (4a-9)(16a^2+36a+81)