What is factor 729y^3-64 ?

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

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factor 729y^3-64

factor

729 y^{3} - 64

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

Solution steps

729 y^{3} - 64

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

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

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

\frac{2}{cos ^{2} ( x )}

- 5 x - 12

(3 x - 4 y)^{4}

15 x^{2} y^{2} z + 20 x^{3} y^{3} z^{2}

3 a^{x + 5} + 19 a^{x + 3} - 10 a^{x + 4} - 8 a^{x + 2} + 5 a^{x + 1}

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