What is factor 4ye^{xy^4}+4xy^5e^{xy^4} ?

The solution to factor 4ye^{xy^4}+4xy^5e^{xy^4} is 4e^{y^4x}y(1+y^4x)

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factor 4ye^{xy^4}+4xy^5e^{xy^4}

factor

4 y e^{x y^{4}} + 4 x y^{5} e^{x y^{4}}

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

Solution steps

4 y e^{x y^{4}} + 4 x y^{5} e^{x y^{4}}

Apply exponent rule:

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

y^{5} = y y^{4}

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

Rewrite as

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

Factor out common term

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

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

x^{2} - 5 x + 0

3 (g - 4) + 6 h - 5 g

2 a x - 4 b x + a y - 2 b y

(x + y) - 1

(x - 4)^{3} - (2 x + 5)^{3}

What is factor 4ye^{xy^4}+4xy^5e^{xy^4} ?
The solution to factor 4ye^{xy^4}+4xy^5e^{xy^4} is 4e^{y^4x}y(1+y^4x)