Question

Factorize: 2ab +3a+2b²+3b​

Answer 1

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

Explanation:

Given expression

`2ab+3a+2b^2+3b`

Factorize each term

`=2* a * b+3* a+2* b * b+3* b`

Factorize [ a ] out of the expression

`=a(2b+3)+2* b * b+3* 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!! :)

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