Question

Factorise :
1. (a+2b) (3a+b) - (a+b) + (a+2b)+(a+2b)²​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

$\underline{\boxed{(a + 2b) (4a + 3b ) - b }}$

Step-by-step explanation:

Given :

(a+2b) (3a+b) - (a+b) + (a+2b)+(a+2b)²​

To Find :

Factorise of given expression

Solution :

(a+2b) (3a+b) - (a+b) + (a+2b)+(a+2b)²​

• Rearranging the terms according to the requirement.
• Here, requirement is to bring all (a+2b) terms at a place

so,

(a+2b) (3a+b)  + (a+2b)²​- (a+b) + (a+2b)

⇒  (a+2b) (3a+b) + (a+2b)²​ - b

• Taking (a+2b) common

⇒ (a+2b)[(3a+b) + (a+2b)] - b

⇒ (a + 2b) (4a + 3b ) - b

So, this is the reduced form till which it can be factorised

Hope it helps!!