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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

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

Solution steps

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

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 ^{2}}

Simplify

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

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

\frac{1}{16} - \frac{3}{2}

5 m - 17 - 5 + 2 m

(4 x - 1) (3 x + 7)

2 (x + 2 y)^{2}

16 (0.5)^{2}

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