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

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

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

expand

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

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

Solution steps

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

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

e^{2 (3 l n (x) - x)}

d x + (1 - x^{2}) cot (y) d y

\frac{1}{( x + 5 ) ^{3}}

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

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

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