What is factor 4-12y+9y^2 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 4-12y+9y^2

factor

4 - 12 y + 9 y^{2}

(3 y - 2)^{2}

Solution steps

4 - 12 y + 9 y^{2}

Write in the standard form

= 9 y^{2} - 12 y + 4

Rewrite in the form of

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

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

4 = 2^{2}

- 12 y = - 2 \cdot 3 y \cdot 2

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

Apply Perfect Square Formula:

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

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

= (3 y - 2)^{2}

x^{3} + 6 x^{2} - 9 x - 14

3 r (7 r - 8)

∣ i ∣^{2}

- \frac{16}{25}

(1 - z^{- 1})^{2}