What is expand-(sinh(x)(x^2+1))/(2x) ?

The solution to expand-(sinh(x)(x^2+1))/(2x) is -(xsinh(x))/2-(sinh(x))/(2x)

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expand-(sinh(x)(x^2+1))/(2x)

expand

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

- \frac{x sinh ( x )}{2} - \frac{sinh ( x )}{2 x}

Solution steps

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

Expand

sinh (x) (x^{2} + 1) : x^{2} sinh (x) + sinh (x)

= - \frac{x ^{2} sinh ( x ) + sinh ( x )}{2 x}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{x ^{2} sinh ( x ) + sinh ( x )}{2 x} = - (\frac{x ^{2} sinh ( x )}{2 x}) - (\frac{sinh ( x )}{2 x})

= - (\frac{x ^{2} sinh ( x )}{2 x}) - (\frac{sinh ( x )}{2 x})

Remove parentheses:

(a) = a

= - \frac{x ^{2} sinh ( x )}{2 x} - \frac{sinh ( x )}{2 x}

Cancel

\frac{x ^{2} sinh ( x )}{2 x} : \frac{x sinh ( x )}{2}

= - \frac{x sinh ( x )}{2} - \frac{sinh ( x )}{2 x}

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

π (1 - \frac{1}{e})

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

\frac{3 x ^{2} + 4 x - 7}{( x + 1 ) ( x - 3 )}

\frac{2 s + 5}{( s - 3 ) ^{2}}

What is expand-(sinh(x)(x^2+1))/(2x) ?
The solution to expand-(sinh(x)(x^2+1))/(2x) is -(xsinh(x))/2-(sinh(x))/(2x)