[a+b] [c-d] + [a-b] [c+d] +2[ac+bd]{find the product & simplify}

given expression is 

  • 11

=[a+b][c-d]        +       [a-b][c+d]                     + 2

=a+b*c-d+a-b*c+d

= cancel a &-a, b&-b, d&-d 

=c

  • 3

 = [a+b][c-d] + [a-b][c+d] + 2[ac+bd]

= ac + bc - ad - bd + ac - bc + ad - bd + 2ac + 2bd    (cancelling opposite integers)

we get,   ac + ac + 2ac - bd - bd + 2bd

=4ac - 2bd + 2bd

=4ac

  • 1
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