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Question

The expression (12+22)(32+42)(52+72) equals
  1. 452+852
     
  2. 412+872
     
  3. 952+152
     
  4. 692+672


Solution

The correct options are
A 452+852
 
B 412+872
 
C 952+152
 
D 692+672
(1+2i)(1-2i)(3+4i)(3-4i)(5+7i)(5-7i)
=|(1+2i)(3+4i)(5+7i)|2=|(5+10i)(5+7i)|2 =|2570+i(5035)|2=952+112
|(1+2i)(34i)(5+7i)|2=|(11+2i)(5+7i)|2=|41+87i|2=422+872|(1+2i)(3+4i)(57i)|2=|(5+10i)(57i)|2|45+85i|=452+852|(1+2i)(34i)(57i)|2=692+672

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