What is factor 6x^3y+48y^4 ?

The solution to factor 6x^3y+48y^4 is 6y(x+2y)(x^2-2xy+4y^2)

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factor 6x^3y+48y^4

factor

6 x^{3} y + 48 y^{4}

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

Solution steps

6 x^{3} y + 48 y^{4}

Factor out common term

6 y : 6 y (x^{3} + 8 y^{3})

= 6 y (x^{3} + 8 y^{3})

Factor

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

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

1 + 14 - (14 - 1)

x^{2} + 18 x + 81 = 25

\frac{7}{100} x^{2} - \frac{y}{121}

\frac{\frac{1}{2}}{- \frac{1}{2}}

(\frac{n}{6} - \frac{6}{n})^{2}

What is factor 6x^3y+48y^4 ?
The solution to factor 6x^3y+48y^4 is 6y(x+2y)(x^2-2xy+4y^2)