Answer:
[tex](3x+1)(2x+5)[/tex]
Step-by-step explanation:
The correct expression is [tex]2x+6x^2+5+15x[/tex]
To use the grouping method, we need to group factorable monomials using parentheses. Notice that 2x and 6x² have a common factor 2x; similarly, 5 and 15x have a common factor 5. We can group each pair of monomials using parenthesis, and then factor each one.
[tex]2x + 6x^2 + 5+15x[/tex]
[tex](6x^2+2x)+(15x+5)[/tex]
[tex]2x(3x+1)+5(3x+1)[/tex]
Now we can factor the common monomial [tex](3x+1)[/tex]:
[tex](3x+1)(2x+5)[/tex]
