Factor x^2+64 using complex numbers

asked Dec 25, 2021 158k views

5 votes

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6 votes

Answer:

(x + 8i)(x - 8i)

Explanation:

note that

8i × - 8i = - 64i² = 64 → i² = - 1

Thus

x² + 64 = (x - 8i)(x + 8i) ← difference of squares

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