algebra · worked example

Solve x² - 16

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

x216x^2 - 16

Step-by-step solution

  1. Reconnais x216x^2 - 16 comme a2b2a^2 - b^2 avec a=xa = x et b=4b = 4 (car 42=164^2 = 16).

  2. Applique l’identité a2b2=(ab)(a+b)a^2 - b^2 = (a-b)(a+b).

  3. Résultat : (x4)(x+4)(x - 4)(x + 4).

Answer

(x4)(x+4)(x - 4)(x + 4)

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