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Popular >

factor k^2-2k+1

Solution

factor

k^{2} - 2 k + 1

Solution

(k - 1)^{2}

Solution steps

k^{2} - 2 k + 1

Rewrite in the form of

a^{2} + 2 ab + b^{2} :

1 = 1^{2}

- 2 k = - 2 k \cdot 1

= k^{2} - 2 k \cdot 1 + 1^{2}

Apply Perfect Square Formula:

a^{2} - 2 ab + b^{2} = (a - b)^{2}

k^{2} - 2 k \cdot 1 + 1^{2} = (k - 1)^{2}

= (k - 1)^{2}

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Frequently Asked Questions (FAQ)

What is factor k^2-2k+1 ?
The solution to factor k^2-2k+1 is (k-1)^2