Simplify the following expression:

(a + 2b – c) (b – c) + (a – c) 2b +$$b^2$$​​

Correct option is D

​Given:

Expression: $$(a + 2b - c)(b - c) + (a - c)2b + b^2$$​​

Solution:

Expand the terms:

​$$(a + 2b - c)(b - c) = ab + 2b^2 - ac - bc - 2bc + c^2$$​

$$(a - c)2b = 2ab - 2bc$$​​

Adding all terms:

​$$ab + 2b^2 - ac - bc - 2bc + c^2 + 2ab - 2bc + b^2 \\ \ \\ = 3ab + 3b^2 - ac - 5bc + c^2$$​​