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

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

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

simplify

\frac{x - 1}{x + 1}

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

Solution steps

\frac{x - 1}{x + 1}

Multiply by the conjugate

\frac{x - 1}{x - 1}

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

Simplify

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

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

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

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

cos^{2} (arccos (x))

- 9 \cdot (- 7)

2 \cdot 5^{6} + 7 \cdot 5^{4} + 3 \cdot 5^{2} + 6

80 \cdot 2

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