If (x^2 – 4) = (x + 2) = x - 2, which polynomial should fill in the blank below?

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2nd choice. (x - 2)

Step-by-step explanation:

Given in the question:

(x²-4) ÷ (x + 2) = x-2

This is an example of difference of squares.

We can rearrange the equation by multiplying both sides by (x+2) to become:

(x² - 4) = x - 2 (x + 2)

Therefore, the binomial that must be multiplied by (x+2) is the second choice, x-2.