Question

Factorise the following:
y² + 3y + 2 + by + 2b

Answer 1

y² + 3y + 2 + by + 2b
= y² + y + 2y + 2 + by + 2b
= y² + y + by + 2y + 2 + 2b
= y(y + 1 + b) + 2(y + 1 + b)
= (y + 1 + b)(y + 2).