Question

HELP ASAP: Factor By Grouping: 12a^3 - 9a^2 + 4a - 3

Answer 1

We have been given an expression
`12a^3 - 9a^2 + 4a - 3`. We are asked to factor the given expression by grouping.

First of all, we will make two groups of our expression as:

`(12a^3-9a^2)+( 4a - 3)`

Now we will factor of greatest common factor from each group.

`(3a^2\cdot 4a-3a^2\cdot 3)+( 4a - 3)`

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

Now we will factor out common terms
`(4a-3)` as:

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

Therefore, the factorized form of our given expression would be
`(4a-3)( 3a^2+1)`.