What is factor 2ye^{xy^2}+2xy^5e^{xy^2} ?

The solution to factor 2ye^{xy^2}+2xy^5e^{xy^2} is 2e^{y^2x}y(1+y^4x)

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factor 2ye^{xy^2}+2xy^5e^{xy^2}

factor

2 y e^{x y^{2}} + 2 x y^{5} e^{x y^{2}}

2 e^{y^{2} x} y (1 + y^{4} x)

Solution steps

2 y e^{x y^{2}} + 2 x y^{5} e^{x y^{2}}

Apply exponent rule:

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

y^{5} = y y^{4}

= 2 y e^{y^{2} x} + 2 x y y^{4} e^{y^{2} x}

Rewrite as

= 1 \cdot 2 y e^{y^{2} x} + 2 y e^{y^{2} x} x y^{4}

Factor out common term

2 y e^{y^{2} x}

= 2 y e^{y^{2} x} (1 + x y^{4})

sin (450 + 2 x)

x^{2} - 3 x y + x \frac{d y}{d x}

9 π + 95 π

9^{2} + 37 X + 4

(25 π) - (253)

What is factor 2ye^{xy^2}+2xy^5e^{xy^2} ?
The solution to factor 2ye^{xy^2}+2xy^5e^{xy^2} is 2e^{y^2x}y(1+y^4x)