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algebra · worked example

Solve x² - 16 = (x - 4)(x + 4)

Method: diferença de quadrados. Verified step-by-step solution with our free AI math solver.
Problem

x2−16x^2 - 16

Step-by-step solution

  1. Identifique x2−16x^2 - 16 como a2−b2a^2 - b^2 com a=xa = x e b=4b = 4 (já que 42=164^2 = 16).

  2. Aplique a identidade a2−b2=(a−b)(a+b)a^2 - b^2 = (a-b)(a+b).

  3. Resultado: (x−4)(x+4)(x - 4)(x + 4).

Answer

(x−4)(x+4)(x - 4)(x + 4)

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