What is factor 8x^3-729y^3 ?

The solution to factor 8x^3-729y^3 is (2x-9y)(4x^2+18xy+81y^2)

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factor 8x^3-729y^3

factor

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

(2 x - 9 y) (4 x^{2} + 18 x y + 81 y^{2})

Solution steps

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

Apply exponent rules

= (2 x)^{3} - (9 y)^{3}

Apply Difference of Cubes Formula:

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

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

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

Simplify

(2 x)^{2} + 2 x \cdot 9 y + (9 y)^{2} : 4 x^{2} + 18 x y + 81 y^{2}

= (2 x - 9 y) (4 x^{2} + 18 x y + 81 y^{2})

(- 1 - i) \cdot i^{k}

\frac{( 6 x y - 8 x )}{( \frac{2}{3} ) \cdot x}

27 x^{3} - (y - z)^{3}

(- 2 x^{3})^{5}

(3 a + 7)^{3}

What is factor 8x^3-729y^3 ?
The solution to factor 8x^3-729y^3 is (2x-9y)(4x^2+18xy+81y^2)