What is factor 64x^3-729 ?

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

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factor 64x^3-729

factor

64 x^{3} - 729

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

Solution steps

64 x^{3} - 729

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

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

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

\frac{2 ^{6}}{6}

\frac{4 - x ^{2}}{3 - x ^{2} + 5}

\frac{1 - i}{4 - 3 i}

- 4 - 36

0. 1^{7}

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