What is factor 24x^3y^2-12x^4y ?

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

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factor 24x^3y^2-12x^4y

factor

24 x^{3} y^{2} - 12 x^{4} y

12 x^{3} y (2 y - x)

Solution steps

24 x^{3} y^{2} - 12 x^{4} y

Apply exponent rule:

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

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

= 24 x^{3} yy - 12 x^{3} x y

Rewrite

24

2 \cdot 12

= 2 \cdot 12 x^{3} yy - 12 x^{3} x y

Factor out common term

12 x^{3} y

= 12 x^{3} y (2 y - x)

x (x^{2} + 3)

4 x^{6} - 25

49 m^{2} - 27 m^{4} + 49 m^{2} - 7

14 x^{3} y^{3} z - 21 x y^{4} z^{4}

- 5 x + 5

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