Question

factor completely.
98h² - 128

Explanation:

Step1: Factor out GCF

Find the greatest common factor of 98 and 128, which is 2.
$98h^2 - 128 = 2(49h^2 - 64)$

Step2: Recognize difference of squares

$49h^2 = (7h)^2$ and $64 = 8^2$, use $a^2-b^2=(a-b)(a+b)$.
$49h^2 - 64 = (7h - 8)(7h + 8)$

Step3: Combine factors

Substitute back into the expression from Step1.
$2(49h^2 - 64) = 2(7h - 8)(7h + 8)$

Answer:

$2(7h - 8)(7h + 8)$