Question

simplify :-
(a+b) (c-d) + (a-b) (c+d) + (2ac+bd)​

Answer 1

Answer:

(a+b) (c-d) + (a-b) (c+d) + (2ac+bd)​ = 4ac - bd

Step-by-step explanation:

$(a+b) (c-d) + (a-b) (c+d) + (2ac+bd)\\= a (c - d) + b(c-d) + a(c + d)-b(c + d) + (2ac+bd)\\= ac - ad + bc - bd +ac + ad - bc - bd + 2ac + bd$

Rearrange the terms

$= ac +ac+ 2ac - ad + ad + bc - bc - bd - bd + bd\\= (1 + 1+ 2)ac - bd\\= 4ac - bd$