Question

Factorise : (2a + b)² + 3(2a+b) +2​

Answer 1

Answer:

(2a+b+2) (2a+b+1)

Step-by-step explanation:

let 2a+b be a

a^2+3a+2

a^2+2a+a+2

a(a+2) +1(a+2)

(a+2) (a+1)

now

(2a+b+2) (2a+b+1)

Answer 2

Answer:

(2a+b+1)(2a+b+2)

Step-by-step explanation:

Let (2a+b) be a

a²+3a+2

By splitting middle term we need to find p and q such that pq=2a² and p+q=3a

So,2a and a are such numbers

a²+2a+a+2

=a(a+2)+1(a+2)

=(a+1)(a+2)

Putting the values:

(2a+b+1)(2a+b+2)