Factor the polynomial cpmpletely. 36a^4 - 4a^2

Holt McDougal Larson Algebra 1 Common Core Edition page 552 number 24

Asked by Dee Dee on 26 Mar 10:00

Last updated by anonymous on 27 Mar 12:48

Answered by CherieS on 27 Mar 12:48

36a^4 - 4a^2

4a^2 (9a^2-1)

4a^2 (3a )(3a ) ( -1)( +1)

Factor:

4a^2 (3a-1)(3a+1)

Check:

4a^2 (3a-1)(3a+1)

4a^2 (3a)(3a) (3a)(1) (-1)(3a) (-1)(+1)

4a^2 (9a^2 +3a -3a -1)

4a^2 (9a^2-1)