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

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

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

expand

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

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

Solution steps

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

Apply the distributive law:

a (b - c) = ab - a c

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

= e^{x - y} x^{2} - e^{x - y} \cdot 2 y^{2}

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

f (3 x - 5) (2 x + 1) d x

A e^{2 x} + e^{2 x} \cdot 2 (A x + B)

(- \frac{1}{2} (x - \frac{1}{2} sin (2 x))) (cos (x))

2 π (2 x - 1)

\frac{5 ( 192 3 - 421 )}{22}

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