why does x^2 (x+2)-(x+2) factor into (x+2)(x^2-1)? *Better formatted in post.

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Like, where does the “-1” come from? I feel like I am missing something painfully obvious…

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Factor x^(2)(x + 2) – (x + 2) = (x + 2)(x^(2) – 1) = (x + 2)(x – 1)(x + 1)

I understand that you’re supposed to factor out the (x+2), but for some reason I can’t grasp the sequence of orders happening there…

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Anonymous 0 Comments

On the left term, the x^2 is obvious factor. On the right term, 1 is a factor, because (x+2)*1 = (x+2). You could write it (x^2 ) (x+2) + (-1) (x+2).

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