What is factor 8y^3-729x^6z^9 ?

The solution to factor 8y^3-729x^6z^9 is (2y-9x^2z^3)(4y^2+18yx^2z^3+81x^4z^6)

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factor 8y^3-729x^6z^9

factor

8 y^{3} - 729 x^{6} z^{9}

(2 y - 9 x^{2} z^{3}) (4 y^{2} + 18 y x^{2} z^{3} + 81 x^{4} z^{6})

Solution steps

8 y^{3} - 729 x^{6} z^{9}

Rewrite

8 y^{3}

(2 y)^{3}

Rewrite

729 x^{6} z^{9}

(3^{2} x^{2} z^{3})^{3}

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

(2 y - 3^{2} x^{2} z^{3}) ((2 y)^{2} + 3^{2} x^{2} z^{3} \cdot 2 y + (3^{2} x^{2} z^{3})^{2}) : (2 y - 9 x^{2} z^{3}) (4 y^{2} + 18 y x^{2} z^{3} + 81 x^{4} z^{6})

= (2 y - 9 x^{2} z^{3}) (4 y^{2} + 18 y x^{2} z^{3} + 81 x^{4} z^{6})

5^{2} - 7 x + 9

7 \cdot ia l (7 - 1)

(\frac{π}{4}) + (\frac{16}{3})

in (e^{6})

(δ)^{'} + 10 δ (x)

What is factor 8y^3-729x^6z^9 ?
The solution to factor 8y^3-729x^6z^9 is (2y-9x^2z^3)(4y^2+18yx^2z^3+81x^4z^6)