SolveMathAI

Factor x^2 - 16

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Answer
(x4)(x+4)\boxed{(x - 4)(x + 4)}

Multiplying the factors back together using FOIL confirms they equal the original expression x216x^2 - 16.

Problem: Factor the expression x216x^2 - 16.

Steps

  1. Identify as a difference of squares
    x242x^2 - 4^2
  2. Apply the difference of squares formula (a2b2=(ab)(a+b)a^2 - b^2 = (a - b)(a + b))
    (x4)(x+4)(x - 4)(x + 4)

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