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 rule:

(a) = a

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

= \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

(x)^{3} \cdot \frac{1}{2 x}

(\frac{4}{e ^{2}})^{- \frac{3}{2}}

(x^{2} y) (4 x y^{3})

600 e^{- 0.032 (6)}

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)