What is factor 3ye^{xy^3}+3xy^7e^{xy^3} ?

The solution to factor 3ye^{xy^3}+3xy^7e^{xy^3} is 3e^{y^3x}y(1+y^6x)

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factor 3ye^{xy^3}+3xy^7e^{xy^3}

factor

3 y e^{x y^{3}} + 3 x y^{7} e^{x y^{3}}

3 e^{y^{3} x} y (1 + y^{6} x)

Solution steps

3 y e^{x y^{3}} + 3 x y^{7} e^{x y^{3}}

Apply exponent rule:

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

y^{7} = y y^{6}

= 3 y e^{y^{3} x} + 3 x y y^{6} e^{y^{3} x}

Rewrite as

= 1 \cdot 3 y e^{y^{3} x} + 3 y e^{y^{3} x} x y^{6}

Factor out common term

3 y e^{y^{3} x}

= 3 y e^{y^{3} x} (1 + x y^{6})

2 x e^{- x} - x^{2} e^{- x}

3 6^{2} + 60 x + 25

(m)^{7}

2 + - 18

(\frac{d}{d x} (5 x))^{2}

What is factor 3ye^{xy^3}+3xy^7e^{xy^3} ?
The solution to factor 3ye^{xy^3}+3xy^7e^{xy^3} is 3e^{y^3x}y(1+y^6x)