What is factor 8x^{18}-729y^3z^{15} ?

The solution to factor 8x^{18}-729y^3z^{15} is (2x^6-9yz^5)(4x^{12}+18x^6yz^5+81y^2z^{10})

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factor 8x^{18}-729y^3z^{15}

factor

8 x^{18} - 729 y^{3} z^{15}

(2 x^{6} - 9 y z^{5}) (4 x^{12} + 18 x^{6} y z^{5} + 81 y^{2} z^{10})

Solution steps

8 x^{18} - 729 y^{3} z^{15}

Rewrite

8 x^{18}

(2 x^{6})^{3}

Rewrite

729 y^{3} z^{15}

(3^{2} y z^{5})^{3}

= (2 x^{6})^{3} - (3^{2} y z^{5})^{3}

Apply Difference of Cubes Formula:

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

(2 x^{6})^{3} - (3^{2} y z^{5})^{3} = (2 x^{6} - 3^{2} y z^{5}) ((2 x^{6})^{2} + 2 x^{6} 3^{2} y z^{5} + (3^{2} y z^{5})^{2})

= (2 x^{6} - 3^{2} y z^{5}) ((2 x^{6})^{2} + 2 x^{6} 3^{2} y z^{5} + (3^{2} y z^{5})^{2})

Simplify

(2 x^{6} - 3^{2} y z^{5}) ((2 x^{6})^{2} + 2 x^{6} \cdot 3^{2} y z^{5} + (3^{2} y z^{5})^{2}) : (2 x^{6} - 9 y z^{5}) (4 x^{12} + 18 x^{6} y z^{5} + 81 y^{2} z^{10})

= (2 x^{6} - 9 y z^{5}) (4 x^{12} + 18 x^{6} y z^{5} + 81 y^{2} z^{10})

(sin (x))^{4}

(sin (x))^{x}

x + Δ x

200

\frac{x ^{2} - 1}{x + 1}

What is factor 8x^{18}-729y^3z^{15} ?
The solution to factor 8x^{18}-729y^3z^{15} is (2x^6-9yz^5)(4x^{12}+18x^6yz^5+81y^2z^{10})