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

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

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

simplify

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

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

Solution steps

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

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}

Simplify

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

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

(x - 1) (x - 1 + 2) (x - 1 - 2)

x (\frac{10 x}{15})

(0.64 \cdot x + 0.64 \cdot 0.5 \cdot x^{2} + 3.9)^{2}

(z - \frac{1}{3})^{4}

5 (6 + 7)

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