Question

factor the difference of two squares. 16x² - 49 select the correct choice below and fill in any answer boxes within your choice. a. 16x² - 49 = b. the polynomial is prime.

Explanation:

Step1: Identify square - terms

We know that $16x^{2}=(4x)^{2}$ and $49 = 7^{2}$.

Step2: Apply difference - of - squares formula

The difference - of - squares formula is $a^{2}-b^{2}=(a + b)(a - b)$. Here, $a = 4x$ and $b = 7$. So, $16x^{2}-49=(4x + 7)(4x - 7)$.

Answer:

A. $(4x + 7)(4x - 7)$