Question

Factor by grouping. 9c^3-12c^2+18c-24

Answer 1

`9c^3 - 12c^2 - 18c - 24= [3c^2 - 6][3c - 4]`

Explanation:

Given

`9c^3 - 12c^2 - 18c - 24`

Required

Factor

Group into 2

`[9c^3 - 12c^2] - [18c + 24]`

Factorize each group

`3c^2[3c - 4] - 6[3c - 4]`

Factor out 3c - 4

`[3c^2 - 6][3c - 4]`

Hence:

`9c^3 - 12c^2 - 18c - 24= [3c^2 - 6][3c - 4]`