Factor the binomial completely 9t2 16 Select the correct cho

Factor the binomial completely. 9t^2 -16 Select the correct choice below and fill in any answer boxes within your choice. 9t^2 - 16 = The polynomial is prime.

Solution

We have 9t² -16 = (3t)² - 4²

We know that a ²- b² = (a+b)(a-b). Therefore, 9t² -16 = (3t)² - 4² = (3t +4)(3t -4)