What is factor x^9-125y^3z^6 ?

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

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factor x^9-125y^3z^6

factor

x^{9} - 125 y^{3} z^{6}

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

Solution steps

x^{9} - 125 y^{3} z^{6}

Rewrite

125 y^{3} z^{6}

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

= x^{9} - (5 y z^{2})^{3}

Apply exponent rule:

a^{b c} = (a^{b})^{c}

x^{9} = (x^{3})^{3}

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

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

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

3 (3 w - 5) = 12

\frac{k}{- 12} \leq - 7

5 m + 12 = m + 3

3 y^{2 + 24 y + 48}

\frac{( a + b ) ^{3}}{18} \cdot \frac{2}{( a + b ) ^{2}}

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