What is factor 729x^9+64 ?

The solution to factor 729x^9+64 is (9x^3+4)(81x^6-36x^3+16)

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factor 729x^9+64

factor

729 x^{9} + 64

(9 x^{3} + 4) (81 x^{6} - 36 x^{3} + 16)

Solution steps

729 x^{9} + 64

Apply exponent rules

= (9 x^{3})^{3} + 4^{3}

Apply Sum of Cubes Formula:

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

(9 x^{3})^{3} + 4^{3} = (9 x^{3} + 4) (9^{2} x^{6} - 4 \cdot 9 x^{3} + 4^{2})

= (9 x^{3} + 4) (9^{2} x^{6} - 4 \cdot 9 x^{3} + 4^{2})

Simplify

(9 x^{3} + 4) (9^{2} x^{6} - 4 \cdot 9 x^{3} + 4^{2}) : (9 x^{3} + 4) (81 x^{6} - 36 x^{3} + 16)

= (9 x^{3} + 4) (81 x^{6} - 36 x^{3} + 16)

(- (\frac{26}{5})^{2}) - 4 (1) (- \frac{24}{5})

- 2 f - 5

\frac{\frac{8 x ^{8}}{5 x ^{2}}}{\frac{72 x}{45 x ^{5}}}

3 a^{2} - 42 a + 147

\frac{cos ( x )}{sec ( x )}

What is factor 729x^9+64 ?
The solution to factor 729x^9+64 is (9x^3+4)(81x^6-36x^3+16)