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

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

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

simplify

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

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

Solution steps

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

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

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

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

Simplify

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

= \frac{x + 2 x + 1}{x - 1}

2 (x - 3 y)

(csc (x) - cot (x)) (1 - cos (x))

\frac{( - 12 x ^{4} + 6 x ^{3} - 18 x ^{2} )}{6 x}

(x + y + 1) d x + (2 x + 2 y + 1) d y

x (x - 2)^{2}

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