factor the following binomial. 49x² - 16 ( ?x + )( x - )

Explanation:

Step1: Identify square - terms

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

Step2: Apply difference - of - squares formula

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

Answer:

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