What is a^2+2a(a+b)+(a+b)^2 ?

The solution to a^2+2a(a+b)+(a+b)^2 is 4a^2+4ab+b^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify a^2+2a(a+b)+(a+b)^2

simplify

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

4 a^{2} + 4 ab + b^{2}

Solution steps

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

Expand

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

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

Expand

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

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

Group like terms

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

Add similar elements:

a^{2} + 2 a^{2} + a^{2} = 4 a^{2}

= 4 a^{2} + 2 ab + 2 ab + b^{2}

Add similar elements:

2 ab + 2 ab = 4 ab

= 4 a^{2} + 4 ab + b^{2}

lo g_{3} (0.1)

16 + 16

6 \times (- 6)

25 x^{9}

- x^{2} - 4 x - 2

What is a^2+2a(a+b)+(a+b)^2 ?
The solution to a^2+2a(a+b)+(a+b)^2 is 4a^2+4ab+b^2