What is expand ((sqrt(x)-1)(sqrt(x+3)+2))/(x-1) ?

The solution to expand ((sqrt(x)-1)(sqrt(x+3)+2))/(x-1) is (sqrt(x^2+3x)+2sqrt(x)-sqrt(x+3)-2)/(x-1)

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expand ((sqrt(x)-1)(sqrt(x+3)+2))/(x-1)

expand

\frac{( x - 1 ) ( x + 3 + 2 )}{x - 1}

\frac{x ^{2} + 3 x + 2 x - x + 3 - 2}{x - 1}

Solution steps

\frac{( x - 1 ) ( x + 3 + 2 )}{x - 1}

Expand

(x - 1) (x + 3 + 2) : x^{2} + 3 x + 2 x - x + 3 - 2

= \frac{x ^{2} + 3 x + 2 x - x + 3 - 2}{x - 1}

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

2 (3 - 1)

\frac{s}{( s + 1 ) ( s ^{2} + 1 )}

(8 x^{2} + 7) (5 x - \frac{1}{4})

(1 + e^{i θ})^{2}

What is expand ((sqrt(x)-1)(sqrt(x+3)+2))/(x-1) ?
The solution to expand ((sqrt(x)-1)(sqrt(x+3)+2))/(x-1) is (sqrt(x^2+3x)+2sqrt(x)-sqrt(x+3)-2)/(x-1)