Respuesta :
The factorization of the given expression by grouping yields (6x-1)(2x²+3).
What is factorization?
Factorization is a way in which the common factors of the terms in an algebraic expression are found. We have the expression 12x^3-2x²+18x-3 in which are to factorize by grouping.
In order to carry out this factorization by grouping we have to perform the following steps;
- Identify common factors which are 2x^2 and 3
- Apply the common factors to two groups of the portions of the expression as shown;
12x^3-2x²+18x-3
2x²(6x-1)+3(6x-1)
(6x-1)(2x²+3)
Learn more about factorization: https://brainly.com/question/6810544