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

The solution to factor 4ye^{xy^4}+4xy^3e^{xy^4} is 4e^{y^4x}y(1+y^2x)

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

factor

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

4 e^{y^{4} x} y (1 + y^{2} x)

Solution steps

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

Apply exponent rule:

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

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

= 4 y e^{y^{4} x} + 4 x y y^{2} e^{y^{4} x}

Rewrite as

= 1 \cdot 4 y e^{y^{4} x} + 4 y e^{y^{4} x} x y^{2}

Factor out common term

4 y e^{y^{4} x}

= 4 y e^{y^{4} x} (1 + x y^{2})

(x + 2) 2 - 25 y 4

5 + (4 x^{2})

x^{2} - \frac{17}{3} x - 2

1 - (\frac{- 1 + 5}{2})

- 100

What is factor 4ye^{xy^4}+4xy^3e^{xy^4} ?
The solution to factor 4ye^{xy^4}+4xy^3e^{xy^4} is 4e^{y^4x}y(1+y^2x)