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factoring day 1
score: 24/48 answered: 12/24
question 13
factor completely:
$3r^3 - 48r = $

Explanation:

Step1: Factor out greatest common factor

$3r^3 - 48r = 3r(r^2 - 16)$

Step2: Recognize difference of squares

$r^2 - 16 = r^2 - 4^2$

Step3: Apply difference of squares rule

$r^2 - 4^2 = (r+4)(r-4)$

Step4: Combine all factors

$3r(r^2 - 16) = 3r(r+4)(r-4)$

Answer:

$3r(r+4)(r-4)$