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12 March, 18:43

When factored completely, the expression p^4 - 81 is equivalent to

(1) (p^2 + 9) (p^2 - 9)

(2) (p^2 - 9) (p^2 - 9)

(3) (p^2 + 9) (p + 3) (p - 3)

(4) (p + 3) (p - 3) (p + 3) (p - 3)

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Answers (2)
  1. 12 March, 20:01
    0
    P⁴ - 81

    p⁴ + 9p² - 9p² - 81

    p² (p²) + p² (9) - 9 (p²) - 9 (9)

    p² (p² + 9) - 9 (p² + 9)

    (p² - 9) (p² + 9)

    (p² + 3p - 3p - 9) (p² + 9)

    (p (p) + p (3) - 3 (p) - 3 (3)) (p² + 9)

    (p (p + 3) - 3 (p + 3)) (p² + 9)

    (p - 3) (p + 3) (p² + 9)

    The answer is (3).
  2. 12 March, 20:30
    0
    (1) is the answer because when you multiply it back you will get p ^ 4 - 81
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