What is factor 64x^3-729y^3 ?

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

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factor 64x^3-729y^3

factor

64 x^{3} - 729 y^{3}

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

Solution steps

64 x^{3} - 729 y^{3}

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

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

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

a (a - 1) y^{2} - y - a (a + 1)

\frac{d ^{923109} i 416934622}{- 4 + 1158125}

1 + \frac{1}{n}

a \cdot a^{\frac{3}{4}} \cdot b^{- 3}

(a - 1) x^{2} + (2 - 3 a) x + 20

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