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 Difference 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{\frac{u}{4} + \frac{4}{u ^{2}}}{u}

\frac{( 2 x ^{4} + 4 x ^{3} + 2 x ^{2} + 8 x + 8 )}{( x + 2 )}

(38 x + 61 y) - (3 x - 11 y)

(6 - 2 x - x^{2})^{2}

- y^{2}

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