asked 158k views
1 vote
Which expressions are completely factored?

Select each correct answer.



Responses

12a3+8a=4(3a3+2a)
12 a cubed plus 8 a equals 4 left parenthesis 3 a cubed plus 2 a right parenthesis

30a6−24a2=3a2(10a4−8)
30 a begin power 6 end power minus 24 a squared equals 3 a squared left parenthesis 10 a begin power 4 end power minus 8 right parenthesis

24a4+18=6(4a4+3)
24 a begin power 4 end power plus 18 equals 6 left parenthesis 4 a begin power 4 end power plus 3 right parenthesis

16a5−20a3=4a3(4a2−5)
16 a begin power 5 end power minus 20 a cubed equals 4 a cubed left parenthesis 4 a squared minus 5 right parenthesis

asked
User Jkavalik
by
9.0k points

1 Answer

2 votes

Hello!

12a³ + 8a = 4(3a³+2a) = 4a(3a² + 2)

30a⁶ - 24a² = 6(5a⁶ - 4a²) = 6a²(5a⁴ - 4)

24a⁴ + 18 = 6(4a⁴ + 3)

16a⁵ - 20a³ = 4a³(4a² - 5)

So the correct answers are:

24a4+18=6(4a4+3)

24 a begin power 4 end power plus 18 equals 6 left parenthesis 4 a begin power 4 end power plus 3 right parenthesis

16a5−20a3=4a3(4a2−5)

16 a begin power 5 end power minus 20 a cubed equals 4 a cubed left parenthesis 4 a squared minus 5 right parenthesis

answered
User Holyxiaoxin
by
8.9k points
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