What is factor 36x^2+12xy+y^2 ?

The solution to factor 36x^2+12xy+y^2 is (6x+y)^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 36x^2+12xy+y^2

factor

36 x^{2} + 12 x y + y^{2}

(6 x + y)^{2}

Solution steps

36 x^{2} + 12 x y + y^{2}

Rewrite in the form of

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

36 x^{2} = (6 x)^{2}

12 x y = 2 \cdot 6 x y

= (6 x)^{2} + 2 \cdot 6 x y + y^{2}

Apply Perfect Square Formula:

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

(6 x)^{2} + 2 \cdot 6 x y + y^{2} = (6 x + y)^{2}

= (6 x + y)^{2}

3^{x} - 3^{x - 1} - 3^{x - 2}

(2 x + 3 z)^{3}

81 y^{4} - 625

125 x^{3} + 64 y^{3}

a (- a)^{3}

What is factor 36x^2+12xy+y^2 ?
The solution to factor 36x^2+12xy+y^2 is (6x+y)^2