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

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

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

expand

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

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

Solution steps

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

(x + 1)^{2} = x^{2} + 2 x + 1

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

Expand

sinh (x) (x + 1) - cosh (x) : x sinh (x) + sinh (x) - cosh (x)

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

t (x) x^{^{''}} + (5 t (x) - 2) x^{^{'}} + 5 x

(x + 1 + x)^{2}

(x + \frac{( 1 + 5 )}{2}) (x + \frac{( 1 - 5 )}{2})

(4 - x) ln (x + 4)

ln (x) (e^{x} v_{1} + \frac{e ^{x}}{x} v_{2} = 0)

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