What is expand e^{1/2 (1-x^2)} ?

The solution to expand e^{1/2 (1-x^2)} is e^{(1-x^2)/2}

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expand e^{1/2 (1-x^2)}

expand

e^{\frac{1}{2} (1 - x^{2})}

e^{\frac{1 - x ^{2}}{2}}

Solution steps

e^{\frac{1}{2} (1 - x^{2})}

Expand

\frac{1}{2} (1 - x^{2}) : 1 \cdot \frac{1}{2} - \frac{1}{2} x^{2}

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

1 \cdot \frac{1}{2} = \frac{1}{2}

\frac{1}{2} x^{2} = \frac{x ^{2}}{2}

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

Combine the fractions

\frac{1}{2} - \frac{x ^{2}}{2} : \frac{1 - x ^{2}}{2}

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

\frac{( x + 7 ) ( x - 4 )}{x - 2}

(4 x^{2} + y) d x + (5 y^{3} - x) d y

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

a (e^{- k x} + e^{k x})

\frac{3 ( 8 + x )}{2}

What is expand e^{1/2 (1-x^2)} ?
The solution to expand e^{1/2 (1-x^2)} is e^{(1-x^2)/2}