What is factor 1-4b+4b^2 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 1-4b+4b^2

factor

1 - 4 b + 4 b^{2}

(2 b - 1)^{2}

Solution steps

1 - 4 b + 4 b^{2}

Write in the standard form

= 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}

4 (- \frac{1}{2})^{2} - 20 (- \frac{1}{2}) + 25

14 + \frac{12}{- 4}

(x - 3) (x - 1) \leq 0

- 16 - 8 n

4 x^{3} + 12 x^{2} + 5 x - 6