Question

Factor.
x^4-9

(x^2-3i) (x^2 + 3i)
(x-3) (x+3)
(x^2 -3) (x^2 + 3)
(x^2 – 3) (x^2 -3)

Answers

  1. Answer:

    (x² – 3)(x² + 3)

    Step-by-step explanation:

    x^{4} – 9 ← is a difference of squares and factors in general as

    a² – b² = (a – b)(a + b) , thus

    x^{4} – 9

    = (x² )² – 3²

    = (x² – 3)(x² + 3)

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