algebra · worked example

Solve x² - 16

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Problem

x216x^2 - 16

Step-by-step solution

  1. تعرّف على x216x^2 - 16 كصيغة a2b2a^2 - b^2 حيث a=xa = x و b=4b = 4 (لأن 42=164^2 = 16).

  2. طبّق المتطابقة a2b2=(ab)(a+b)a^2 - b^2 = (a-b)(a+b).

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

Answer

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

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