Respuesta :
Answer:
(2y + z)(3x - 2)
Step-by-step explanation:
[tex]6xy - 2z - 4y + 3xz \\ = (6xy + 3xz) -(4y + 2z) \\ = 3x(2y + z) - 2(2y + z) \\ = (2y + z)(3x - 2) \\ [/tex]
(3x - 2)(2y + z) is the answer.
What is factorization?
Factorization is the process of resolving an expression into factors.
How to factorize the given expression?
The process of factorization of the given expresion is given below:
6xy-2z-4y+3xz
= 2y(3x - 2) + z(3x - 2)
- Taking 2y common form 6xy and - 4y and z common form 3xz and -2z
= (3x - 2)(2y + z)
- Taking (3x - 2) common.
The factorized expression is (3x - 2)(2y + z).
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