What is factor 9x^2y-12x^3y^2+6xy ?

The solution to factor 9x^2y-12x^3y^2+6xy is 3xy(3x-4x^2y+2)

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factor 9x^2y-12x^3y^2+6xy

factor

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

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

Solution steps

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

Apply exponent rule:

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

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

= 9 xx y - 12 x x^{2} yy + 6 x y

Rewrite

6

2 \cdot 3

Rewrite

- 12

4 \cdot 3

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

Factor out common term

3 x y

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

(5^{\frac{2 x}{3}})^{6}

7 x^{2} - 7 x - 14

\frac{5 ^{5}}{5 !} e^{- 5}

2 5^{2}

4 x^{2} - 3 x = 0

What is factor 9x^2y-12x^3y^2+6xy ?
The solution to factor 9x^2y-12x^3y^2+6xy is 3xy(3x-4x^2y+2)