What is factor x^2+bx+(b^2)/4 ?

The solution to factor x^2+bx+(b^2)/4 is (x+b/2)^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor x^2+bx+(b^2)/4

factor

x^{2} + b x + \frac{b ^{2}}{4}

(x + \frac{b}{2})^{2}

Solution steps

x^{2} + b x + \frac{b ^{2}}{4}

Rewrite in the form of

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

\frac{b ^{2}}{4} = (\frac{1}{2} b)^{2}

x b = 2 x \frac{1}{2} b

= x^{2} + 2 x \frac{1}{2} b + (\frac{1}{2} b)^{2}

Apply Perfect Square Formula:

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

x^{2} + 2 x \frac{1}{2} b + (\frac{1}{2} b)^{2} = (x + \frac{1}{2} b)^{2}

= (x + \frac{1}{2} b)^{2}

2 x^{2} (- 3 x^{2})^{3}

(x + 2)^{2} - (y - 1)^{2}

(- 14 + \frac{3}{2} b) - (1 + \frac{8}{2} b)

\frac{2 \cdot ( 2 - \frac{3}{2} ) ^{2}}{2 ^{2} \cdot 3 ^{6}}

\frac{11}{44}

What is factor x^2+bx+(b^2)/4 ?
The solution to factor x^2+bx+(b^2)/4 is (x+b/2)^2