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Expansion of (a ± b ± c)²

Factorise:Fac...

Question

Factorise:

Factorization of $(2 a + b)^{2} + 5 (2 a + b) + 6$ is $(2 a + b + 3) (2 a + b + 2)$
If true then enter $1$ and if false then enter $0$

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Solution

Let $2 a + b = a$
Factorizing $a^{2} + 5 a + 6$ ,
Split $5 a$ as:
$= a^{2} + 3 a + 2 a + 6 = a (a + 3) + 2 (a + 3) = (a + 3) (a + 2) = (2 a + b + 3) (2 a + b + 2)$

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