which binomial is a factor of 9x² - 64?\n3x - 8\n9x - 32\n3x + 32\n9x + 8

Explanation:

Step1: Recognize difference - of - squares

The expression $9x^{2}-64$ is in the form $a^{2}-b^{2}$, where $a = 3x$ ($(3x)^{2}=9x^{2}$) and $b = 8$ ($8^{2}=64$).

Step2: Apply difference - of - squares formula

The difference - of - squares formula is $a^{2}-b^{2}=(a + b)(a - b)$. So, $9x^{2}-64=(3x + 8)(3x - 8)$.

Answer:

A. $3x - 8$