What is factor 3ye^{xy^3}+3xy^6e^{xy^3} ?

The solution to factor 3ye^{xy^3}+3xy^6e^{xy^3} is 3e^{y^3x}y(1+y^5x)

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factor 3ye^{xy^3}+3xy^6e^{xy^3}

factor

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

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

Solution steps

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

Apply exponent rule:

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

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

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

Rewrite as

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

Factor out common term

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

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

128 + 64 e^{16} t + 64 e - 16 t

5 x y + 15 x m + 3 zy + 9 z m

3 a + b c + 3 c + ab

\frac{x + 4}{x ^{3} + 64}

\frac{d}{d y} ((x) (2 x y))

What is factor 3ye^{xy^3}+3xy^6e^{xy^3} ?
The solution to factor 3ye^{xy^3}+3xy^6e^{xy^3} is 3e^{y^3x}y(1+y^5x)