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

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

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

factor

2 x \cdot y^{3} - 6 x^{2} \cdot y - 12 y

2 y (x y^{2} - 3 x^{2} - 6)

Solution steps

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

Apply exponent rule:

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

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

= 2 y y^{2} - 6 x^{2} y - 12 y

Rewrite

- 12

6 \cdot 2

Rewrite

- 6

3 \cdot 2

= 2 y y^{2} + 3 \cdot 2 x^{2} y + 6 \cdot 2 y

Factor out common term

2 y

= 2 y (x y^{2} - 3 x^{2} - 6)

(x^{\frac{2}{3}}) \cdot (y^{\frac{2}{3}})

3.7 t + 0.5 (8 - 2.2 t)

\frac{5}{x} - \frac{9}{w}

(7 z^{6})^{2}

\frac{y \cdot 5 x ^{2} \cdot y ^{4}}{( x ^{5} ) \cdot y ^{- 2}}

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