What is factor 2ye^{xy^2}+2xy^6e^{xy^2} ?

The solution to factor 2ye^{xy^2}+2xy^6e^{xy^2} is 2e^{y^2x}y(1+y^5x)

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factor 2ye^{xy^2}+2xy^6e^{xy^2}

factor

2 y e^{x y^{2}} + 2 x y^{6} e^{x y^{2}}

2 e^{y^{2} x} y (1 + y^{5} x)

Solution steps

2 y e^{x y^{2}} + 2 x y^{6} e^{x y^{2}}

Apply exponent rule:

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

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

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

Rewrite as

= 1 \cdot 2 y e^{y^{2} x} + 2 y e^{y^{2} x} x y^{5}

Factor out common term

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

= 2 y e^{y^{2} x} (1 + x y^{5})

6 + 3 x^{11}

8 c d e - 2 c d - d e

2 x^{16} - 128

2 x - 2 y + a x - a y

What is factor 2ye^{xy^2}+2xy^6e^{xy^2} ?
The solution to factor 2ye^{xy^2}+2xy^6e^{xy^2} is 2e^{y^2x}y(1+y^5x)