Question

Factorise 4ab +6bn-2a-3n​

Answer 1

`(2b-1)(2a+3n)`

Explanation:

Given expression:

`4ab+6bn-2a-3n`

Factorize the first two terms and the last two terms separately:

`\implies 2b(2a+3n)-1(2a+3n)`

Factor out the common term (2a + 3n):

`\implies (2b-1)(2a+3n)`

Answer 2

• (2b - 1)(2a + 3n)

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Given polynomial

• 4ab + 6bn - 2a - 3n​

Factorize it as below:

4ab + 6bn - 2a - 3n​ =

(4ab - 2a) + (6bn - 3n) = Regroup

2a(2b - 1) + 3n(2b - 1) = Factorize each group using common factors

(2b - 1)(2a + 3n) Factorize using common factor