What is factor 8x^9-125y^6z^9 ?

The solution to factor 8x^9-125y^6z^9 is (2x^3-5y^2z^3)(4x^6+10x^3y^2z^3+25y^4z^6)

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factor 8x^9-125y^6z^9

factor

8 x^{9} - 125 y^{6} z^{9}

(2 x^{3} - 5 y^{2} z^{3}) (4 x^{6} + 10 x^{3} y^{2} z^{3} + 25 y^{4} z^{6})

Solution steps

8 x^{9} - 125 y^{6} z^{9}

Rewrite

8 x^{9}

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

Rewrite

125 y^{6} z^{9}

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

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

(2 x^{3} - 5 y^{2} z^{3}) ((2 x^{3})^{2} + 2 x^{3} \cdot 5 y^{2} z^{3} + (5 y^{2} z^{3})^{2}) : (2 x^{3} - 5 y^{2} z^{3}) (4 x^{6} + 10 x^{3} y^{2} z^{3} + 25 y^{4} z^{6})

= (2 x^{3} - 5 y^{2} z^{3}) (4 x^{6} + 10 x^{3} y^{2} z^{3} + 25 y^{4} z^{6})

e^{2 x} - 8 e^{x} + 15

[1 - sin (a)] [1 + sin (a)]

2 x^{2} + 7 x^{2} + 2 x - 3

\frac{9 x ^{2} - 25}{6 x - 15}

\frac{x ^{2} + 5 x - 24}{x - 3}

What is factor 8x^9-125y^6z^9 ?
The solution to factor 8x^9-125y^6z^9 is (2x^3-5y^2z^3)(4x^6+10x^3y^2z^3+25y^4z^6)