What is factor 9x^2+12xy+4y^2 ?

The solution to factor 9x^2+12xy+4y^2 is (3x+2y)^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 9x^2+12xy+4y^2

factor

9 x^{2} + 12 x y + 4 y^{2}

(3 x + 2 y)^{2}

Solution steps

9 x^{2} + 12 x y + 4 y^{2}

Rewrite in the form of

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

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

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

12 x y = 2 \cdot 3 x \cdot 2 y

= (3 x)^{2} + 2 \cdot 3 x \cdot 2 y + (2 y)^{2}

Apply Perfect Square Formula:

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

(3 x)^{2} + 2 \cdot 3 x \cdot 2 y + (2 y)^{2} = (3 x + 2 y)^{2}

= (3 x + 2 y)^{2}

2 x \cdot x

(4^{8})^{3}

x^{2} - 6 x = 7

24 x^{2} - 16 x - 39 = 0

\frac{1}{4} + 7

What is factor 9x^2+12xy+4y^2 ?
The solution to factor 9x^2+12xy+4y^2 is (3x+2y)^2