What is factor 3ye^{xy^3}+3xy^4e^{xy^3} ?

The solution to factor 3ye^{xy^3}+3xy^4e^{xy^3} is 3e^{y^3x}y(1+y^3x)

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factor 3ye^{xy^3}+3xy^4e^{xy^3}

factor

3 y e^{x y^{3}} + 3 x y^{4} e^{x y^{3}}

3 e^{y^{3} x} y (1 + y^{3} x)

Solution steps

3 y e^{x y^{3}} + 3 x y^{4} e^{x y^{3}}

Apply exponent rule:

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

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

= 3 y e^{y^{3} x} + 3 x y y^{3} e^{y^{3} x}

Rewrite as

= 1 \cdot 3 y e^{y^{3} x} + 3 y e^{y^{3} x} x y^{3}

Factor out common term

3 y e^{y^{3} x}

= 3 y e^{y^{3} x} (1 + x y^{3})

W (2 L)

8^{2} - 2 x - 3

ρ z cos (φ) + (- z^{2} sin (2 φ))

- 4 sin^{2} (8 x + 2)

(9)^{\frac{5}{6}}

What is factor 3ye^{xy^3}+3xy^4e^{xy^3} ?
The solution to factor 3ye^{xy^3}+3xy^4e^{xy^3} is 3e^{y^3x}y(1+y^3x)