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

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

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

factor

14 x^{6} - 45 x^{3} \cdot 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})

t^{\frac{- 3}{2}}

(\frac{1}{2} x^{2} + \frac{1}{3} y)^{3}

512 x^{3} - 64 y^{3}

f (x) 3 x + 2

f (x) 3 x + 1

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