What is factor 2ye^{xy^2}+2xy^4e^{xy^2} ?

The solution to factor 2ye^{xy^2}+2xy^4e^{xy^2} is 2e^{y^2x}y(1+y^3x)

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factor 2ye^{xy^2}+2xy^4e^{xy^2}

factor

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

2 e^{y^{2} x} y (1 + y^{3} x)

Solution steps

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

Apply exponent rule:

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

y^{4} = y y^{3}

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

Rewrite as

= 1 \cdot 2 y e^{y^{2} x} + 2 y e^{y^{2} x} x y^{3}

Factor out common term

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

= 2 y e^{y^{2} x} (1 + x y^{3})

\frac{( x ^{3} + 8 )}{x + 2}

a x + b y + b x + a y

4 (x + y)^{2} - 8 (x + y) + 3

(tan (3 x))^{2}

What is factor 2ye^{xy^2}+2xy^4e^{xy^2} ?
The solution to factor 2ye^{xy^2}+2xy^4e^{xy^2} is 2e^{y^2x}y(1+y^3x)