If you ask me to simplify (x+3)(x+5), I'd do it easily by multiplying both sides.
But if you ask:
Explain: x2+8x+15 = (x+3)(x+5)
I'd be dumbfounded.
How do I "see" that it is so more logically other than remembering what a simple polynomial multiplication looks like? help on this is MUCH required as I'll be tested both ways, I will definitely fail if I can't wrap my head around this one. PLEASE help me see it! Thanks in advance, any thought-provoking comments appreciated.