What is factor 6x^5y+2xy^3-6y ?

The solution to factor 6x^5y+2xy^3-6y is 2y(3x^5+xy^2-3)

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factor 6x^5y+2xy^3-6y

factor

6 x^{5} y + 2 x y^{3} - 6 y

2 y (3 x^{5} + x y^{2} - 3)

Solution steps

6 x^{5} y + 2 x y^{3} - 6 y

Apply exponent rule:

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

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

= 6 x^{5} y + 2 y y^{2} - 6 y

Rewrite

- 6

3 \cdot 2

Rewrite

6

3 \cdot 2

= 3 \cdot 2 x^{5} y + 2 y y^{2} + 3 \cdot 2 y

Factor out common term

2 y

= 2 y (3 x^{5} + x y^{2} - 3)

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

(6 x)^{- 2}

\frac{40}{56}

\frac{5}{6} - \frac{2}{6}

1 - 25 q^{4}

What is factor 6x^5y+2xy^3-6y ?
The solution to factor 6x^5y+2xy^3-6y is 2y(3x^5+xy^2-3)