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

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

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

factor

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

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

Solution steps

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

Apply exponent rule:

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

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

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

Rewrite

12

4 \cdot 3

Rewrite

6

2 \cdot 3

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

Factor out common term

3 x^{2} y

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

3 q + 21 r - 27 s

(\frac{- 2 a ^{2}}{b ^{3}})^{3}

\frac{\frac{( 27 x - 9 )}{3}}{4}

p^{1} (- 4.6) p^{2} (- 5.1)

(x - y)^{3} - 8 (x + y)^{3}

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