factor the difference of two squares. 16x² - 81 select the correct choice below and fill in any answer boxes…
factor the difference of two squares. 16x² - 81 select the correct choice below and fill in any answer boxes within your choice. a. 16x² - 81 = b. the polynomial is prime.
Answer
Explanation:
Step1: Identify square - terms
We know that $16x^{2}=(4x)^{2}$ and $81 = 9^{2}$.
Step2: Apply difference - of - squares formula
The difference - of - squares formula is $a^{2}-b^{2}=(a + b)(a - b)$. Here, $a = 4x$ and $b = 9$, so $16x^{2}-81=(4x + 9)(4x-9)$.
Answer:
A. $(4x + 9)(4x - 9)$