What is factor e^{x+y}+x^2e^{x^3+y} ?

The solution to factor e^{x+y}+x^2e^{x^3+y} is e^y(e^x+e^{x^3}x^2)

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factor e^{x+y}+x^2e^{x^3+y}

factor

e^{x + y} + x^{2} e^{x^{3} + y}

e^{y} (e^{x} + e^{x^{3}} x^{2})

Solution steps

e^{x + y} + x^{2} e^{x^{3} + y}

Apply exponent rule:

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

= e^{y} e^{x} + e^{y} e^{x^{3}} x^{2}

Factor out common term

e^{y}

= e^{y} (e^{x} + x^{2} e^{x^{3}})

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

1 6^{2} + 16 x + 4

(- 4 a^{2} c) - 3 a c

\frac{5}{8} - 5 1^{3} m^{6}

(a - [b])^{2}

What is factor e^{x+y}+x^2e^{x^3+y} ?
The solution to factor e^{x+y}+x^2e^{x^3+y} is e^y(e^x+e^{x^3}x^2)