I came across this from a university mathematics resource page but they do not provide answer to this.
What I did was this:
$(a^2+b^2+c^2)(a+b+c) - (a^3 + b^3 + c^3) + 2abc$
But I don't think this is the correct solution. How should I spot how to factorise expression here?
I wish to learn more of this seemingly complex and uncommon algebra factorisation.
Can you recommend me a book or a website for this?
There seem to be only common factorisations when I google.
Many thanks in advance,