143k views
2 votes
Factor 360t + 10t ^3 - 120t ^2.

10t(t - 6)(t + 6)
10t(t - 6)^2
-10t(t - 6)(t + 6)

User Mjhasbach
by
8.5k points

1 Answer

0 votes
The answer is: [B]: " 10t (t - 6)² "
___________________________________
Note:
_________________________________________


Choice [A]: 10t(t - 6)(t + 6) = 10t (t² - 36) = 10t³ - 360t .

Choice [C]: is similar; except with "-10t" in lieu of "10t" :
________________________________________
-10t (t-6)(t+6) = -10t (t² -36) = -10t³ + 360t ;
________________________________________
This leaves us with the remaining answer choice:
_______________________________________
Answer choice: [B]: " 10t (t - 6)² " .
_______________________________________

But let us check:

(t - 6)² = (t - 6)(t - 6) = t² - 6t - 6t + 36 = t² - 12t + 36 ;

10t (t² - 12t + 36) = 10t³ - 120t² + 360t ;

which equals the value presented in the question:
_________________________________________
which is: 360t + 10t³ - 120t² "

Note: "our solved value: " 10t³ - 120t² + 360t " = ?
(the value in the question: " 360t + 10t³ - 120t² " ?

360t + 10t³ - 120t² =? 10t³ - 120t² + 360t ??

= +360t +10t³ - 120t² ?? YES!
____________________________________________
The answer is: [B]: " 10t (t - 6)² " .
____________________________________________
User Roya
by
8.5k points

Related questions

asked Aug 26, 2018 175k views
Misz asked Aug 26, 2018
by Misz
7.3k points
2 answers
4 votes
175k views
asked Jul 21, 2019 18.4k views
Andrew Hardiman asked Jul 21, 2019
by Andrew Hardiman
8.8k points
2 answers
1 vote
18.4k views
asked Sep 23, 2022 228k views
David Culbreth asked Sep 23, 2022
by David Culbreth
8.7k points
2 answers
5 votes
228k views