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Popular >

factor X^2-2X+1

Solution

factor

X^{2} - 2 X + 1

Solution

(X - 1)^{2}

Solution steps

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}

Popular Examples

simplify x^{1/2}\times 1/x simplify

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factor-x^2+9x-20 factor

- x^{2} + 9 x - 20

expand (u+4)(u-8)expand

(u + 4) (u - 8)

\frac{77}{3}

simplify (1^{-1})/2 simplify

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

Frequently Asked Questions (FAQ)

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