What is factor 343z^9-216x^6y^3 ?

The solution to factor 343z^9-216x^6y^3 is (7z^3-6x^2y)(49z^6+42z^3x^2y+36x^4y^2)

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factor 343z^9-216x^6y^3

factor

343 z^{9} - 216 x^{6} y^{3}

(7 z^{3} - 6 x^{2} y) (49 z^{6} + 42 z^{3} x^{2} y + 36 x^{4} y^{2})

Solution steps

343 z^{9} - 216 x^{6} y^{3}

Rewrite

343 z^{9}

(7 z^{3})^{3}

Rewrite

216 x^{6} y^{3}

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

= (7 z^{3})^{3} - (6 x^{2} y)^{3}

Apply Difference of Cubes Formula:

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

(7 z^{3})^{3} - (6 x^{2} y)^{3} = (7 z^{3} - 6 x^{2} y) ((7 z^{3})^{2} + 7 z^{3} 6 x^{2} y + (6 x^{2} y)^{2})

= (7 z^{3} - 6 x^{2} y) ((7 z^{3})^{2} + 7 z^{3} 6 x^{2} y + (6 x^{2} y)^{2})

Simplify

(7 z^{3} - 6 x^{2} y) ((7 z^{3})^{2} + 7 z^{3} \cdot 6 x^{2} y + (6 x^{2} y)^{2}) : (7 z^{3} - 6 x^{2} y) (49 z^{6} + 42 z^{3} x^{2} y + 36 x^{4} y^{2})

= (7 z^{3} - 6 x^{2} y) (49 z^{6} + 42 z^{3} x^{2} y + 36 x^{4} y^{2})

71 - 31 C e^{- K (4)}

(cos (x^{2}))^{100}

100 x^{3} + 201 x^{2} + 102 + 1

x^{2} y + x y + z x + z

5 m z - 30 mh - 3 n z + 18 nh

What is factor 343z^9-216x^6y^3 ?
The solution to factor 343z^9-216x^6y^3 is (7z^3-6x^2y)(49z^6+42z^3x^2y+36x^4y^2)