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

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

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

expand

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

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

Solution steps

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

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

Distribute parentheses

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

Apply minus-plus rules

+ (- a) = - a

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

Simplify

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

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

(2 - x - x)^{2}

\frac{2 cos ( x ) ( - sin ( x ) + 1 )}{( 2 + sin ( x ) ) ^{3}}

\frac{x h + 2 h + 2}{( x + 2 ) h}

\frac{a}{( 2 - ib ) ^{2}}

\frac{x - 3}{6} + \frac{3 ( x + 2 )}{4}

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