Answer: First option is correct.
Step-by-step explanation:
Since we have given that
[tex]12xy-9x-8y+6[/tex]
We just need to find the factors of the polynomial with two variables.
1) Taking the common factor from first two terms i.e. 3x
So, it becomes,
[tex]3x(4y-3)[/tex]
2) Now, taking the common factor from last two terms i.e. -2
So, it becomes,
[tex]-2(4y-3)[/tex]
So, Combined form will be given as
[tex]12xy-9x-8y+6\\\\=3x(4y-3)-2(4y-3)\\\\=(3x-2)(4y-3)[/tex]
Hence, First option is correct.
