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

The solution to factor a^2+2a(a+b)+(a+b)2 is 3a^2+2ab+2a+2b

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factor a^2+2a(a+b)+(a+b)2

factor

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

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

Solution steps

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

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

Expand

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

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

Expand

2 (a + b) : 2 a + 2 b

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

Add similar elements:

a^{2} + 2 a^{2} = 3 a^{2}

= 3 a^{2} + 2 ab + 2 a + 2 b

(x - 11)^{3} + 8

\frac{x ^{2} - 3 x - 54}{x - 9}

16 u^{8} - 8 u^{4} + 1

x^{2} + 3 - 2

x - y + x z - yz + x z^{2} - y z^{2}

What is factor a^2+2a(a+b)+(a+b)2 ?
The solution to factor a^2+2a(a+b)+(a+b)2 is 3a^2+2ab+2a+2b