Respuesta :

Step-by-step explanation:

Step 1:  Factor

[tex]b^2 + 5b + 6[/tex]

[tex]b^2 + 3b + 2b + 6[/tex]

[tex](b + 3)(b + 2)[/tex]

Answer:  [tex](b + 3)(b + 2)[/tex]

(b + 2) (b + 3)

Step-by-step explanation:

b² + 5b + 6

Known :

a = 1

b = 5

c = 6

Asked :

Factorise b² + 5b + 6 = ...?

Answer :

p × q = c

p + q = b

So :

p × q = 6

2 × 3 = 6

p + q = 5

2 + 3 = 5

So, p = 2 & q = 3

So, factorise b² + 5b + 6 is (b + 2) (b + 3)

Hope it helpful and useful :)