What is factor 25n^2+20n+4 ?

The solution to factor 25n^2+20n+4 is (5n+2)^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 25n^2+20n+4

factor

25 n^{2} + 20 n + 4

(5 n + 2)^{2}

Solution steps

25 n^{2} + 20 n + 4

Rewrite in the form of

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

25 n^{2} = (5 n)^{2}

4 = 2^{2}

20 n = 2 \cdot 5 n \cdot 2

= (5 n)^{2} + 2 \cdot 5 n \cdot 2 + 2^{2}

Apply Perfect Square Formula:

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

(5 n)^{2} + 2 \cdot 5 n \cdot 2 + 2^{2} = (5 n + 2)^{2}

= (5 n + 2)^{2}

\frac{1}{2 - 4}

(x - 2)^{2} = 3

\frac{- 2}{i}

\frac{8}{9} \cdot \frac{5}{11} \cdot \frac{1}{2}

4 z^{2} - 9