Answer to Question #11034 in Algebra for nks prasad

Question

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

Answer 1

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