What is factor 512-27a^9 ?

The solution to factor 512-27a^9 is -(3a^3-8)(9a^6+24a^3+64)

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factor 512-27a^9

factor

512 - 27 a^{9}

- (3 a^{3} - 8) (9 a^{6} + 24 a^{3} + 64)

Solution steps

512 - 27 a^{9}

Write in the standard form

= - 27 a^{9} + 512

Factor out

- 1 : - (27 a^{9} - 512)

= - (27 a^{9} - 512)

Factor

27 a^{9} - 512 : (3 a^{3} - 8) (3^{2} a^{6} + 8 \cdot 3 a^{3} + 8^{2})

= - (3 a^{3} - 8) (3^{2} a^{6} + 8 \cdot 3 a^{3} + 8^{2})

Simplify

- (3 a^{3} - 8) (3^{2} a^{6} + 8 \cdot 3 a^{3} + 8^{2}) : - (3 a^{3} - 8) (9 a^{6} + 24 a^{3} + 64)

= - (3 a^{3} - 8) (9 a^{6} + 24 a^{3} + 64)

- \frac{8}{9}

11.5 - 5 \frac{1}{2}

\frac{7}{7}

14 - 6 (3 x - 1.5)

What is factor 512-27a^9 ?
The solution to factor 512-27a^9 is -(3a^3-8)(9a^6+24a^3+64)