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Popular >

factor 4b^2-4b+1

Solution

factor

4 b^{2} - 4 b + 1

Solution

(2 b - 1)^{2}

Solution steps

4 b^{2} - 4 b + 1

Rewrite in the form of

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

4 b^{2} = (2 b)^{2}

1 = 1^{2}

- 4 b = - 2 \cdot 2 b \cdot 1

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

Apply Perfect Square Formula:

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

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

= (2 b - 1)^{2}

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Frequently Asked Questions (FAQ)

What is factor 4b^2-4b+1 ?
The solution to factor 4b^2-4b+1 is (2b-1)^2