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Popular >

factor z^2-2z+1

Solution

factor

z^{2} - 2 z + 1

Solution

(z - 1)^{2}

Solution steps

z^{2} - 2 z + 1

Rewrite in the form of

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

1 = 1^{2}

- 2 z = - 2 z \cdot 1

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

Apply Perfect Square Formula:

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

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

= (z - 1)^{2}

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Frequently Asked Questions (FAQ)

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