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This is a polynomial, so you can use direct substitution. Plug in -4 for x

So,
((-4)+3)^2

yes

No foiling is required for the polynomial before plugging it in?

you can, but it's not necessary. You'll get the same value regardless

Okay, I just wanted to make sure I wasn't doing unnecessary steps. May I ask another quick question?

ok

Do you perhaps have an example of when factoring would be required?

do you know what a piecewise function is?

Okay, I thought so. Do you know when to classify when a limit is going to be a piecewise function?

factor the numerator using the difference of cubes, and the (x-2) will cancel in the denominator.

I'm terribly sorry for asking, but could you re-teach me how to factor cubes?

\[(a^3 \pm b^3)=(a \pm b)(a^2 \mp ab + b^2)\]

Thank you, I'll write down that formula and mnemonic to remember!

you're welcome

I think I have it from here! Thank you so much for all your help!

you're welcome