What is factor 24x^2y^2+18xy^4-2xy^3 ?

The solution to factor 24x^2y^2+18xy^4-2xy^3 is 2xy^2(12x+9y^2-y)

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factor 24x^2y^2+18xy^4-2xy^3

factor

24 x^{2} y^{2} + 18 x y^{4} - 2 x y^{3}

2 x y^{2} (12 x + 9 y^{2} - y)

Solution steps

24 x^{2} y^{2} + 18 x y^{4} - 2 x y^{3}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

x^{2} y^{2} = xx y^{2}, x y^{4} = x y^{2} y^{2}, x y^{3} = x y^{2} y

= 24 xx y^{2} + 18 x y^{2} y^{2} - 2 x y^{2} y

Rewrite

18

9 \cdot 2

Rewrite

24

12 \cdot 2

= 12 \cdot 2 xx y^{2} + 9 \cdot 2 x y^{2} y^{2} - 2 x y^{2} y

Factor out common term

2 x y^{2}

= 2 x y^{2} (12 x + 9 y^{2} - y)

(\frac{1}{32})^{- \frac{4}{5}}

10 - x - 3 x^{2}

16 b^{2} - 25

\frac{0}{3 !}

2 x^{2} - 98 y^{2}

What is factor 24x^2y^2+18xy^4-2xy^3 ?
The solution to factor 24x^2y^2+18xy^4-2xy^3 is 2xy^2(12x+9y^2-y)