What is factor 4a^2-4ab+b^2 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 4a^2-4ab+b^2

factor

4 a^{2} - 4 ab + b^{2}

(2 a - b)^{2}

Solution steps

4 a^{2} - 4 ab + b^{2}

Rewrite in the form of

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

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

- 4 ab = - 2 \cdot 2 ab

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

Apply Perfect Square Formula:

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

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

= (2 a - b)^{2}

\frac{2 π}{3}

12 m - 4 m + 14 = 2 m

\frac{a b ^{- 1}}{4 a ^{- 4} \cdot 4 a}

\frac{3 x + 9}{2} = \frac{x - 4}{3}

x^{2} - 12 x + 18 = 0