Question

Factorize: 2ab +3a+2b²+3b​

Answer 1

Answer: $\Large\boxed{(a+b)(2a+3)}$

Step-by-step explanation:

Given expression

$2ab+3a+2b^2+3b$

Factorize each term

$=2\times a \times b+3\times a+2\times b \times b+3\times b$

Factorize [ a ] out of the expression

$=a(2b+3)+2\times b \times b+3\times b$

Factorize [ b ] out of the expression

$=a(2b+3)+b(2b+3)$

Combine the parts by reverse distributive property

$=\Large\boxed{(a+b)(2a+3)}$

Hope this helps!! :)

Please let me know if you have any questions