Question

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

Answer 1

Answer:

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

now we multiply each other,

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

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

             =2ac-2bd+2ac+2bd

                 = 4ac

Step-by-step explanation:

Answer 2

4ac

Step-by-step explanation:

Given that,

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

On solving, we get

= a (c – d) + b(c – d) + a(c + d) – b(c + d) + 2 (ac + bd)

= (ac + bc − ad − bd) + (ac + ad − bc − bd) + 2(ac + bd)

= ac + ac + 2ac – ad + ad + bc – bc – bd – bd – 2 bd

=  4ac

Thus, 4ac is the correct answer after simplification.

Learn more: Simplify

brainly.in/question/25398538