Question

Factorize the following: a2 + b2 + 2ab + 2bc + 2ca

Answer 1

Step-by-step explanation:

a2+ b2+ 2ab+2bc+2ca

(a+b)2 +2c(a+b)

(a+b)(a+b+2c+1)

*in the second step its (a+b) the whole square

Answer 2

Answer:

Step-by-step explanation:

a^2 + b^2 + 2ab + 2bc + 2ca

= (a^2 + b^2 + 2ab) + 2bc + 2ca

= (a+b) ^2 + 2c(a+b)

= (a+b) [(a+b) + 2c]

= (a+b) (a+b+2c)

Hope it helps