Question

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

Answer 1

(a+b)(c-d)=

ac-ad+bc-bd

(a-b)(c+d)=

ac+ad+bc+bd

2(ac+bd)=

2ac+ 2bd

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

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

4ac+2ad+2bc+2bd

=4ac+2ad+2bc+2bd

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

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