Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

no additional details were added for th view submission factoring day 1…

Question

no additional details were added for th
view submission
factoring day 1
score: 22/48 answered: 11/24
question 12
factor completely:
$5t^{2}-245 = $
question help: video
submit question

Explanation:

Step1: Factor out GCF

$5t^2 - 245 = 5(t^2 - 49)$

Step2: Apply difference of squares

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

Step3: Combine factors

$5(t^2 - 49) = 5(t-7)(t+7)$

Answer:

$5(t-7)(t+7)$