Respuesta :
we are given
[tex] 12x^3-2x^2+18x-3 [/tex]
Firstly, we will split terms
[tex] 2x^2*6x-1*2x^2+3*6x-1*3 [/tex]
We can group first two and last two terms
[tex] (2x^2*6x-1*2x^2)+(3*6x-1*3) [/tex]
we can see that 2x^2 is common in first two terms
and 3 is common in last two terms
so, we can factor factor out 2x^2 from first group and 3 from second group
we get
[tex] =2x^2(6x-1)+3(6x-1) [/tex]
we can see that each terms are multiple of 6x-1
so, we can factor out 6x-1
so, we get
[tex]12x^3-2x^2+18x-3 =(2x^2+3)(6x-1) [/tex]............Answer
