What is expand y*e^{xsqrt(2)-x}*(sqrt(2)-1) ?

The solution to expand y*e^{xsqrt(2)-x}*(sqrt(2)-1) is sqrt(2)e^{sqrt(2)x-x}y-e^{sqrt(2)x-x}y

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expand ye^{xsqrt(2)-x}(sqrt(2)-1)

expand

y \cdot e^{x 2 - x} \cdot (2 - 1)

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

Solution steps

y e^{x 2 - x} (2 - 1)

= (2 - 1) e^{2 x - x} y

Apply the distributive law:

a (b - c) = ab - a c

a = y e^{x 2 - x}, b = 2, c = 1

= y e^{x 2 - x} 2 - y e^{x 2 - x} \cdot 1

= 2 e^{2 x - x} y - 1 \cdot e^{2 x - x} y

Multiply:

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

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

(x^{'} - 10) (x^{2} - 1)

e^{x (x - 11)}

- (\frac{1}{6} \cdot lo g_{2} (\frac{1}{6}) + \frac{5}{6} \cdot lo g_{2} (\frac{5}{6}))

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

\frac{( 7 x + 8 ) ( 6 x + 4 )}{( x ^{2} - 16 ) ^{2}}

What is expand y*e^{xsqrt(2)-x}*(sqrt(2)-1) ?
The solution to expand y*e^{xsqrt(2)-x}*(sqrt(2)-1) is sqrt(2)e^{sqrt(2)x-x}y-e^{sqrt(2)x-x}y