What is factor 3x^{13}-192x^7y^6 ?

The solution to factor 3x^{13}-192x^7y^6 is 3x^7(x+2y)(x^2-2xy+4y^2)(x-2y)(x^2+2xy+4y^2)

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factor 3x^{13}-192x^7y^6

factor

3 x^{13} - 192 x^{7} y^{6}

3 x^{7} (x + 2 y) (x^{2} - 2 x y + 4 y^{2}) (x - 2 y) (x^{2} + 2 x y + 4 y^{2})

Solution steps

3 x^{13} - 192 x^{7} y^{6}

Factor out common term

3 x^{7} : 3 x^{7} (x^{6} - 64 y^{6})

= 3 x^{7} (x^{6} - 64 y^{6})

Factor

x^{6} - 64 y^{6} : (x + 2 y) (x^{2} - 2 x y + 4 y^{2}) (x - 2 y) (x^{2} + 2 x y + 4 y^{2})

= 3 x^{7} (x + 2 y) (x^{2} - 2 x y + 4 y^{2}) (x - 2 y) (x^{2} + 2 x y + 4 y^{2})

\frac{4 x ^{2} - 1 + 1}{x ^{2}}

21 y^{2} + 4 y - 1

3 - 2 e^{- 0} 0.25 x

(x + 2) (x + 3) (x + 4) (x + 5) - 24

x^{3} y^{3} + 1

What is factor 3x^{13}-192x^7y^6 ?
The solution to factor 3x^{13}-192x^7y^6 is 3x^7(x+2y)(x^2-2xy+4y^2)(x-2y)(x^2+2xy+4y^2)