1.In class Complex, define a multiply method that returns the product of two Com

Question

1.In class Complex, define a multiply method that returns the product of two
Complex numbers. Suppose you are trying to compute the product of two
complex numbers a + bi and c + di. The real part will be ac –
bd, while the imaginary part will be ad + bc. Modify ComplexTest to
test your solution.

2.Overload the add, subtract and multiply methods of your class, so that
instead of taking one complex as an argument and returning a complex,
they take two complex number as arguments and return the result in a new
complex object. Make this methods static.

Explanation / Answer

package chegg;

public class Complex {
  
   int real,imag;
  
   Complex(){}
     
   Complex(int real_1,int imag_1)
   {
   real=real_1;
   imag=imag_1;
   }
  
  
   static Complex multiply(Complex C1,Complex C2)
   {
   Complex CSum=new Complex();
   CSum.real=C1.real*C2.real-C1.imag*C2.imag ;
   CSum.imag=C1.real*C2.imag + C2.real*C1.imag;
   return CSum;
   }
     
     

   public static void main(String[] a)
   {
         
  
   Complex C1=new Complex(4,6);
   Complex C2=new Complex(5,7);
  
   Complex r=new Complex();
  
   r=Complex.multiply(C1,C2);
  
   System.out.println("Complex Number one is: " + C1.real +"+i" + C1.imag);
   System.out.println("Complex Number two is: " + C2.real +"+i" + C2.imag);
  
   System.out.println("Product of Two Complex Number is:" + r.real +"+i" + r.imag);
   }
   }

---------------------------------------------------

Output Sample 1:-

Complex Number one is: 4+i6
Complex Number two is: 5+i7
Product of Two Complex Number is:-22+i58

------------------------------

Output Sample 2:-

Complex Number one is: 4+i6
Complex Number two is: 1+i3
Product of Two Complex Number is:-14+i18

---------------------------------------------------------------------------------------------

If you have any query, please feel free to ask.

Thanks a lot.

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