Question

factorize a²+ b²+ 2ab +2bc+ 2ca​

Answer 1

Answer:

Here's your answer dude..

Step-by-step explanation:

The given expression can be factorized as given below:

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

we can see that a^2 + b^2 +2ab is the expansion of (a+b)^2

=(a+b)^2 + 2bc + 2ca   [Using the identity (a+b)^2 =  a^2 + b^2 +2ab]

=(a+b)^2 + 2c (a + b)  

[In the above step we can see that 2c is common                                        between 2bc + 2ca so, the common term is written out side the                      bracket and the unlike terms are inside the bracket.]

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

Hope you like this..