What is expand e^{y^2}(x^2y+4y) ?

The solution to expand e^{y^2}(x^2y+4y) is e^{y^2}yx^2+4e^{y^2}y

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

expand

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

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

Solution steps

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

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

Apply the distributive law:

a (b + c) = ab + a c

a = e^{y^{2}}, b = x^{2} y, c = 4 y

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

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

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What is expand e^{y^2}(x^2y+4y) ?
The solution to expand e^{y^2}(x^2y+4y) is e^{y^2}yx^2+4e^{y^2}y