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

Apply exponent rules

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

Apply Sum of Cubes Formula:

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

(3 a^{3})^{3} + 8^{3} = (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{15}{x - 6} + \frac{7}{x + 6}

4^{l o g_{2} (n + 1)}

(3 x^{2} + 4 x - 1) - (2 x^{2} - 5 x + 2)

\frac{3 - 2 3}{2 3 + 1}

(- 3 z^{2} + 4 z - 2) (2 z + 3)

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