What is factor x^2+1-2x ?

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

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factor x^2+1-2x

factor

x^{2} + 1 - 2 x

(x - 1)^{2}

Solution steps

x^{2} + 1 - 2 x

Write in the standard form

= x^{2} - 2 x + 1

Rewrite in the form of

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

1 = 1^{2}

- 2 x = - 2 x \cdot 1

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

Apply Perfect Square Formula:

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

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

= (x - 1)^{2}

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