algebra · worked example

Solve x² - 16

Method: разность квадратов. Verified step-by-step solution with our free AI math solver.
Problem

x216x^2 - 16

Step-by-step solution

  1. Распознайте x216x^2 - 16 как a2b2a^2 - b^2 с a=xa = x и b=4b = 4 (так как 42=164^2 = 16).

  2. Примените тождество a2b2=(ab)(a+b)a^2 - b^2 = (a-b)(a+b).

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

Answer

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

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