What is factor 14x^6-45x^3y^3-14y^6 ?

The solution to factor 14x^6-45x^3y^3-14y^6 is (7x^3+2y^3)(2x^3-7y^3)

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factor 14x^6-45x^3y^3-14y^6

factor

14 x^{6} - 45 x^{3} y^{3} - 14 y^{6}

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

Solution steps

14 x^{6} - 45 x^{3} y^{3} - 14 y^{6}

Break the expression into groups

= (14 x^{6} + 4 x^{3} y^{3}) + (- 49 x^{3} y^{3} - 14 y^{6})

Factor out

2 x^{3}

from

14 x^{6} + 4 x^{3} y^{3} : 2 x^{3} (7 x^{3} + 2 y^{3})

Factor out

- 7 y^{3}

from

- 49 x^{3} y^{3} - 14 y^{6} : - 7 y^{3} (7 x^{3} + 2 y^{3})

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

Factor out common term

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

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

(3 y + 2 x)^{10}

(2 a + b - c)^{3}

\frac{10 ( r ^{35} p ^{9} )}{( - q )}

(1 - x) (1 + x) (1 + x^{2}) (1 + x^{4})

a^{3} - 12 a^{2} + 48 a - 64

What is factor 14x^6-45x^3y^3-14y^6 ?
The solution to factor 14x^6-45x^3y^3-14y^6 is (7x^3+2y^3)(2x^3-7y^3)