Answer: [tex]\Large\boxed{(a+b)(2a+3)}[/tex]
Step-by-step explanation:
Given expression
[tex]2ab+3a+2b^2+3b[/tex]
Factorize each term
[tex]=2\times a \times b+3\times a+2\times b \times b+3\times b[/tex]
Factorize [ a ] out of the expression
[tex]=a(2b+3)+2\times b \times b+3\times b[/tex]
Factorize [ b ] out of the expression
[tex]=a(2b+3)+b(2b+3)[/tex]
Combine the parts by reverse distributive property
[tex]=\Large\boxed{(a+b)(2a+3)}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
