What is factor 54x^3y-16y^4 ?

The solution to factor 54x^3y-16y^4 is 2y(3x-2y)(9x^2+6xy+4y^2)

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factor 54x^3y-16y^4

factor

54 x^{3} y - 16 y^{4}

2 y (3 x - 2 y) (9 x^{2} + 6 x y + 4 y^{2})

Solution steps

54 x^{3} y - 16 y^{4}

Factor out common term

2 y : 2 y (27 x^{3} - 8 y^{3})

= 2 y (27 x^{3} - 8 y^{3})

Factor

27 x^{3} - 8 y^{3} : (3 x - 2 y) (9 x^{2} + 6 x y + 4 y^{2})

= 2 y (3 x - 2 y) (9 x^{2} + 6 x y + 4 y^{2})

- 9 (x - 9) = 3 (x + 63)

\frac{3 - 1}{3 + 1}

2 r^{2} - 8 r = 0

K (r, s) = 3 r - 4 s

x^{3} + x^{2} - 12 x

What is factor 54x^3y-16y^4 ?
The solution to factor 54x^3y-16y^4 is 2y(3x-2y)(9x^2+6xy+4y^2)