What is factor 9n^2+24n+16 ?

The solution to factor 9n^2+24n+16 is (3n+4)^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 9n^2+24n+16

factor

9 n^{2} + 24 n + 16

(3 n + 4)^{2}

Solution steps

9 n^{2} + 24 n + 16

Rewrite in the form of

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

9 n^{2} = (3 n)^{2}

16 = 4^{2}

24 n = 2 \cdot 3 n \cdot 4

= (3 n)^{2} + 2 \cdot 3 n \cdot 4 + 4^{2}

Apply Perfect Square Formula:

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

(3 n)^{2} + 2 \cdot 3 n \cdot 4 + 4^{2} = (3 n + 4)^{2}

= (3 n + 4)^{2}

\frac{1}{4} 8

- 12 w > 5 (w - 6) + 3

12 x^{2} - 29 x y + 14 y^{2}

\frac{( 2 + 3 i )}{( 3 - 4 i )}

- 3 x + 1 + x = - 6 - 2 x + 9