What is factor 5ye^{xy^5}+5xy^6e^{xy^5} ?

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

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factor 5ye^{xy^5}+5xy^6e^{xy^5}

factor

5 y e^{x y^{5}} + 5 x y^{6} e^{x y^{5}}

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

Solution steps

5 y e^{x y^{5}} + 5 x y^{6} e^{x y^{5}}

Apply exponent rule:

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

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

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

Rewrite as

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

Factor out common term

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

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

1 - (x)

(ln (tan (x)))^{2^{^{'}}}

2 - x - 6

\frac{9 - 3 5}{2}

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