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

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

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

expand

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

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

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

Apply minus-plus rules

+ (- a) = - a

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

\frac{z ( x - y )}{x + y}

+ \frac{x ( - x + 3 ) ^{2}}{6}

(1.01)^{3}

\frac{y ( 2 x - 2 y )}{( - 1 + x y ^{2} )}

(t + δ t)^{2}

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