What is factor 16x^4y+54xy^4 ?

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

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factor 16x^4y+54xy^4

factor

16 x^{4} y + 54 x y^{4}

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

Solution steps

16 x^{4} y + 54 x y^{4}

Factor out common term

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

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

Factor

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

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

(2 a^{7})^{2}

(\frac{( 3 x )}{4} - \frac{3}{( 5 x )} - 2)^{2}

- 3 (- 3) (- 5) (- x)

(2 x^{2} - 4 x + 6) (4 x^{2} + 5 x - 7)

3 m^{5} + 1 + 9 m^{5} + 3 m - 2

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