algebra · worked example

Solve x² - 16

Method: 平方の差. Verified step-by-step solution with our free AI math solver.
Problem

x216x^2 - 16

Step-by-step solution

  1. x216x^2 - 16a2b2a^2 - b^2 とみなし、a=xa = xb=4b = 4 とします(42=164^2 = 16 なので)。

  2. 恒等式 a2b2=(ab)(a+b)a^2 - b^2 = (a-b)(a+b) を適用します。

  3. 結果:(x4)(x+4)(x - 4)(x + 4)

Answer

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

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