Question

factor the expression 16c² - 49

Explanation:

Step1: Identify as difference of squares

The expression \(16c^2 - 49\) is a difference of squares, since \(16c^2=(4c)^2\) and \(49 = 7^2\). The formula for factoring a difference of squares is \(a^2 - b^2=(a + b)(a - b)\).

Step2: Apply the formula

Here, \(a = 4c\) and \(b = 7\). Substituting into the formula, we get \((4c + 7)(4c - 7)\).

Answer:

\((4c + 7)(4c - 7)\)