Question

factor completely.
$4w^2 - 196$

Explanation:

Step1: Factor out the GCF

$4w^2 - 196 = 4(w^2 - 49)$

Step2: Apply difference of squares

$w^2 - 49 = w^2 - 7^2 = (w-7)(w+7)$

Step3: Combine the factors

$4(w-7)(w+7)$

Answer:

$4(w-7)(w+7)$