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o-na [289]
3 years ago
14

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

Mathematics
1 answer:
MAVERICK [17]3 years ago
7 0

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).

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