What is factor 14x^2y^2+42xy^3 ?

The solution to factor 14x^2y^2+42xy^3 is 14xy^2(x+3y)

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factor 14x^2y^2+42xy^3

factor

14 x^{2} y^{2} + 42 x y^{3}

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

Solution steps

14 x^{2} y^{2} + 42 x y^{3}

Apply exponent rule:

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

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

= 14 xx y^{2} + 42 x y^{2} y

Rewrite

42

3 \cdot 14

= 14 xx y^{2} + 3 \cdot 14 x y^{2} y

Factor out common term

14 x y^{2}

= 14 x y^{2} (x + 3 y)

- 33 - 8 - 33

\frac{x}{20} + 7 + \frac{x}{5} = - \frac{5}{5} x

11 = \frac{1}{2} (x + 8)

(9^{\frac{1}{2}} \cdot 2 7^{\frac{1}{3}})^{\frac{1}{2}}

∣ t + 2 ∣ \leq 4

What is factor 14x^2y^2+42xy^3 ?
The solution to factor 14x^2y^2+42xy^3 is 14xy^2(x+3y)