I need to get this: $$4(n+1)^2-(n+1)$$
Initially I have this:
Which I simplify to this: $$4n^2+7n+3$$
And since it is a cuadratic I simplify it to this: $$(n+1)(4n+3)$$ This is how far I got. I know that my expression has the same value as the original, but I need to reach the same form as well.
I have trouble with this kind of problem. I always get stuck when needed to make a expression take some form.
Yes, I need a way to arrange my expression to get that. But it would be much better if you could help me explaining those "techniques" or "tactics" I seem to be clearly lacking instead of just a solution to this specific scenario. Were my steps correct so far? Or should I have stopped earlier and taken a different route?