Question

factor completely 169x² - 64.
(13x + 8)(13x - 8)
(13x + 8)²
(13x - 8)²
13x - 8

Explanation:

Step1: Identify the form

The expression $169x^{2}-64$ is in the form of $a^{2}-b^{2}$, where $a = 13x$ ($\sqrt{169x^{2}}=13x$) and $b = 8$ ($\sqrt{64}=8$).

Step2: Apply the difference - of - squares formula

The difference - of - squares formula is $a^{2}-b^{2}=(a + b)(a - b)$. Substituting $a = 13x$ and $b = 8$ into the formula, we get $(13x + 8)(13x - 8)$.

Answer:

A. $(13x + 8)(13x - 8)$