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Popular >

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

Solution

simplify

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

Solution

x - 1

Solution steps

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

Factor

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

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

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

= x - 1

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Frequently Asked Questions (FAQ)

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