 Hi and welcome to the session. I am Asha and I am going to help you with the following question that says, if a plus iota b into c plus iota b into e plus iota f into g plus iota h is equal to a plus iota b, then show that a square plus b square into c square plus d square into e square plus f square into g square plus h square is equal to a square plus b square. For any complex numbers equal to a plus iota b, conjugate of z is defined by minus iota b if z1 and z2 are two complex number and conjugate of their product is equal to z1 conjugate into z2 conjugate. So these some ideas will help us to show them above problem because this is our key idea in the solution and here we are given that a plus iota b c plus iota d into e plus iota f into g plus iota h is equal to a plus iota b. Now on taking conjugate both the sides a plus iota b into c plus iota d into e plus iota f into g plus iota h is equal to a plus iota b conjugate which is further equal to a plus iota b conjugate into c plus iota d conjugate into e plus iota f conjugate into g plus iota h conjugate is equal to a plus iota b conjugate. Further equal to a minus iota b into c minus iota d into e minus iota f into g minus iota h is further equal to a minus iota b. Let the given equation be equation number one and let this be equation number two. Now on multiplying one and two we get a plus iota b into a minus iota b c plus iota d into c minus iota d e plus iota f into e minus iota f g plus iota h into g minus iota h is equal to a plus iota b into a minus iota b. Now this is further equal to on simplifying this we have a square minus iota square b square on simplifying these two we have c square minus iota square d square on simplifying these two we have e square minus iota square h square on simplifying these two we have z square minus iota square h square which is further equal to on simplifying last two a square minus iota square b square. Now since iota square is equal to minus one therefore this can further be written as a square plus b square into c square plus d square into e square plus f square into g square plus h square which is equal to a square plus b square. This is what we have to prove hence proved. So this completes the solution hope you enjoyed it take care and have a good day.