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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 4x^2-12x+9

factor

4 x^{2} - 12 x + 9

(2 x - 3)^{2}

Solution steps

4 x^{2} - 12 x + 9

Rewrite in the form of

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

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

9 = 3^{2}

- 12 x = - 2 \cdot 2 x \cdot 3

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

Apply Perfect Square Formula:

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

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

= (2 x - 3)^{2}

4 x^{3} + 16 x^{2} - 9 x - 36 > 0

1 - e^{- \frac{2}{3}}

- \frac{2}{7} (- \frac{1}{4})

14 - 7 x^{2}

9150 - 1096