en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

\frac{1}{x - 1}

Solution steps

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

Factor

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

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

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

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

Cancel the common factor:

x - 1

= \frac{1}{x - 1}

Popular Examples

simplify x/(x-1)-1 simplify

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

simplify-x\times (-4)simplify

- x \times (- 4)

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

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

simplify 70000000sqrt(2/200)simplify

70000000 \frac{2}{200}

simplify 2^x(2^x)simplify

2^{x} (2^{x})

Frequently Asked Questions (FAQ)

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