What is factor 4ye^{xy^4}+4xy^6e^{xy^4} ?

The solution to factor 4ye^{xy^4}+4xy^6e^{xy^4} is 4e^{y^4x}y(1+y^5x)

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factor 4ye^{xy^4}+4xy^6e^{xy^4}

factor

4 y e^{x y^{4}} + 4 x y^{6} e^{x y^{4}}

4 e^{y^{4} x} y (1 + y^{5} x)

Solution steps

4 y e^{x y^{4}} + 4 x y^{6} e^{x y^{4}}

Apply exponent rule:

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

y^{6} = y y^{5}

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

Rewrite as

= 1 \cdot 4 y e^{y^{4} x} + 4 y e^{y^{4} x} x y^{5}

Factor out common term

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

= 4 y e^{y^{4} x} (1 + x y^{5})

6 x^{2} - 4 a x - 9 b x + 6 ab

(a + b)^{3} - (30 + 4 b)^{3}

x^{2} + 10 + 24

(5 a + 1)^{2} - 2 (5 a + 1) - 3

[2.8]

What is factor 4ye^{xy^4}+4xy^6e^{xy^4} ?
The solution to factor 4ye^{xy^4}+4xy^6e^{xy^4} is 4e^{y^4x}y(1+y^5x)