Answer:
[tex](2x(3x + 6y + 4))[/tex]
Step-by-step explanation:
To factor the expression [tex](6x^2 + 8x + 12yx)[/tex], let's first rearrange the terms to group them:
[tex][6x^2 + 8x + 12yx = 6x^2 + 12yx + 8x][/tex]
Now, let's factor out the greatest common factor (GCF) from the first two terms:
[tex][2x(3x + 6y) + 8x][/tex]
Now, let's factor out the GCF from the entire expression:
[tex][2x(3x + 6y) + 2x(4)][/tex]
Now, we can factor out (2x) from both terms:
[tex][2x(3 + 6y + 4)][/tex]
So, the fully factored expression is [tex](2x(3x + 6y + 4))[/tex]
