Answer:
x² -2x +4
Explanation:
You recognize the dividend as the sum of two cubes. The factorization of that is ...
... a³ + b³ = (a + b)(a² -ab +b²)
In your problem, you have a=x, b =2, so the factorization is ...
... (x³ +8) = (x +2)(x² -2x +4)
When this is divided by (x +2), the result is (x² -2x +4).
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You can also use long division or synthetic division to get the same result.