What is factor 2x^3y^3+16x^2y^4+32xy^5 ?

The solution to factor 2x^3y^3+16x^2y^4+32xy^5 is 2xy^3(x+4y)^2

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factor 2x^3y^3+16x^2y^4+32xy^5

factor

2 x^{3} y^{3} + 16 x^{2} y^{4} + 32 x y^{5}

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

Solution steps

2 x^{3} y^{3} + 16 x^{2} y^{4} + 32 x y^{5}

Factor out common term

2 x y^{3} : 2 x y^{3} (x^{2} + 8 x y + 16 y^{2})

= 2 x y^{3} (x^{2} + 8 x y + 16 y^{2})

Factor

x^{2} + 8 x y + 16 y^{2} : (x + 4 y) (x + 4 y)

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

Apply exponent rule:

aa = a^{2}

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

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

10 x - 1 = (2 x + 1)^{2}

x^{4} - 14 x^{2} + 33

25 6^{\frac{1}{4}}

\frac{- 12}{6}

- \frac{3}{5} + \frac{1}{3}

What is factor 2x^3y^3+16x^2y^4+32xy^5 ?
The solution to factor 2x^3y^3+16x^2y^4+32xy^5 is 2xy^3(x+4y)^2