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

The solution to factor 5ye^{xy^5}+5xy^4e^{xy^5} is 5e^{y^5x}y(1+y^3x)

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

factor

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

5 e^{y^{5} x} y (1 + y^{3} x)

Solution steps

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

Apply exponent rule:

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

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

= 5 y e^{y^{5} x} + 5 x y y^{3} e^{y^{5} x}

Rewrite as

= 1 \cdot 5 y e^{y^{5} x} + 5 y e^{y^{5} x} x y^{3}

Factor out common term

5 y e^{y^{5} x}

= 5 y e^{y^{5} x} (1 + x y^{3})

y^{- 2} + 2 y^{- 3}

a^{2} + a x + ab + b x

2 a - 2 b + a x - b x

(z)^{3}

A (- 2.3)

What is factor 5ye^{xy^5}+5xy^4e^{xy^5} ?
The solution to factor 5ye^{xy^5}+5xy^4e^{xy^5} is 5e^{y^5x}y(1+y^3x)