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

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

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

simplify

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

x + 1 (x - 1) x - 1

Solution steps

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

Apply the fraction rule:

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

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

Apply radical rule:

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

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

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

Simplify

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

= x + 1 (x - 1) x - 1

e^{- t} \cdot cos (2 t)

(5 x^{3} y) (3 x y)

- 7 e^{- 7}

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

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