So I have a question that confuses me, hopefully, you guys could clear it up for me.
$$6x^2 + 7x + 1$$ Step 1: $$6x^2 + 6x + x + 1$$ Step 2: $$6x(x+1)+(x+1)$$ Now here comes my question, we have to factor it out so: $$(6x+1)+(x+1)$$ What mathematical property allows us to write $(6x+1$)?
I'm talking about the $1$ here.
I see that $6x(x+1)+(x+1)$ is the same as $6x(x+1)1<<(x+1)$ but this somehow puzzles me because I'm used to it being okay for multiplication since $1 * anything$ does not change anything. But later on we actually add them? As in $(6x+1 <<)(x+1)$
Maybe it's one too many for today but I'm really confused about this. Can someone see what I mean here?