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

The solution to (1+2/(x^2-1))*(x+(1/x)) is ((x^2+1)^2)/(x(x^2-1))

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simplify (1+2/(x^2-1))*(x+(1/x))

simplify

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

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

Solution steps

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

Join

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

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

Apply the fraction rule:

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

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

Simplify

(x^{2} + 1) (x + \frac{1}{x}) : \frac{( x ^{2} + 1 ) ^{2}}{x}

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

Apply the fraction rule:

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

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

\frac{( 2 11 - 1 ) ( 3 + 2 2 )}{5}

(1 + cos (θ)) sin (θ)

(x - 4 + 2)^{2}

(x - 2 x y) d y

What is (1+2/(x^2-1))*(x+(1/x)) ?
The solution to (1+2/(x^2-1))*(x+(1/x)) is ((x^2+1)^2)/(x(x^2-1))