Question

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

Answer 1

Answer:

4ac

Step-by-step explanation:

(a+b)(c-d)+(a-b)(c+d)+2(ac+bd)

=ac-ad+bc-bd+ac+ad-bc-bd+2ac+2bd

=4ac

Answer 2

(a+b) (c-d) + (a-b) (c+d) + 2 (ac+bd)

¤Distributive property:-

ac-ad + bc-bd + ac+ad -bc-bd + 2ac+2bd

¤-ad and +ad will be cancelled. +bc and -bc will be cancelled.

ac-bd+ac-bd + 2ac+2bd

2ac + 2ac - 2bd + 2bd

¤-2bd and +2bd will be cancelled.

= 4ac