What is factor 3x^2y^3-6x^3y^4+12xy ?

The solution to factor 3x^2y^3-6x^3y^4+12xy is 3xy(xy^2-2x^2y^3+4)

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factor 3x^2y^3-6x^3y^4+12xy

factor

3 x^{2} y^{3} - 6 x^{3} y^{4} + 12 x y

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

Solution steps

3 x^{2} y^{3} - 6 x^{3} y^{4} + 12 x y

Apply exponent rule:

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

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

= 3 xx y y^{2} - 6 x x^{2} y y^{3} + 12 x y

Rewrite

12

4 \cdot 3

Rewrite

- 6

2 \cdot 3

= 3 xx y y^{2} + 2 \cdot 3 x x^{2} y y^{3} + 4 \cdot 3 x y

Factor out common term

3 x y

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

x^{4} + 8 x y^{3}

(\frac{a ^{2}}{4})^{2}

\frac{\frac{1}{x ^{2}}}{( 1 + \frac{1}{x ^{2}} ) ^{\frac{3}{2}}}

\frac{x ^{n}}{1 - x ^{2}}

\frac{x - ( x - 1 ) \cdot ( x - 2 )}{( x ^{2} )}

What is factor 3x^2y^3-6x^3y^4+12xy ?
The solution to factor 3x^2y^3-6x^3y^4+12xy is 3xy(xy^2-2x^2y^3+4)