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

The solution to factor 2xy^3+12x^4y^3 is 2xy^3(1+6x^3)

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

factor

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

2 x y^{3} (1 + 6 x^{3})

Solution steps

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

Apply exponent rule:

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

x^{4} y^{3} = x x^{3} y^{3}

= 2 x y^{3} + 12 x x^{3} y^{3}

Rewrite

12

6 \cdot 2

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

Factor out common term

2 x y^{3}

= 2 x y^{3} (1 + 6 x^{3})

\frac{17}{51}

\frac{1}{2} + \frac{3}{4} + 1

\frac{c ^{9}}{6 c ^{4}}

\frac{1}{7 ^{- 3}}

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

What is factor 2xy^3+12x^4y^3 ?
The solution to factor 2xy^3+12x^4y^3 is 2xy^3(1+6x^3)