Java Program to Compute x2+y2+z2-xy-yz+zx where Value of x, y and z are Given

Java Program to Compute x2+y2+z2-xy-yz-zx where Value of x, y, and z is Given

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In the previous article we have discussed about Java Program to Compute (x+a)(x+b) where Value of x, a and b are Given

In this program we are going to see how to compute x2+y2+z2-xy-yz-zx where value of x, y, and z is  given by using Java programming language.

Java Program to Compute x2+y2+z2-xy-yz-zx where Value of x, y, and z is Given

The formula of x2+y2+z2-xy-yz-zx is given below.

x2+y2+z2-xy-yz-zx = (x−y)2+(y-z)2+(z-x)2

Now we will convert this into a valid Java expression.

Let x= x2+y2+z2-xy-yz-zx

= (x−y)2+(y-z)2+(z-x)2

Example:

Suppose x=27, y=32, and z=10, Then

= x2+y2+z2-xy-yz-zx
= (x−y)2+(y-z)2+(z-x)2
= (27−32)^2+(32-10)^2+(10-27)^2
= 798

Now let’s see different ways to compute x2+y2+z2-xy-yz-zx.

Method-1: Java Program to Compute x2+y2+z2-xy-yz-zx where Value of x, y, and z is Given By Using Static Input Value and Pow() Function

Approach:

  • Declare and initialize three integer variables say x, y, and z.
  • By using the formula compute x2+y2+z2-xy-yz-zx.
  • Print the result.

Program:

import java.lang.Math;
class Main
{
    public static void main(String[] args)
    {
        //declare the first integer variable with an integer value
        int x= 10;
        System.out.println("x= " +x);
        //declare the second integer variable with an integer value
        int y= 12;
        System.out.println("y= " +y);
        //declare the third integer variable with an integer value
        int z= 14;
        System.out.println("z= " +z);
        //declare another integer variable and assigned the formulated value to it.
        int res= (int)(Math.pow(x-y,2)+ Math.pow(y-z,2)+ Math.pow(z-x,2));	
        System.out.println("x2+y2+z2-xy-yz-zx = "+res);
    }
}

Output:

x= 10
y= 12
z= 14
x2+y2+z2-xy-yz-zx = 24

Method-2: Java Program to Compute x2+y2+z2-xy-yz-zx where Value of x, y, and z is Given By Using User Input Value and Pow() Function

Approach:

  • Declare and initialize three integer variables say x, y, and z.
  • Prompt the user to enter the values to the corresponding variables by using Scanner class.
  • Then By using the formula compute x2+y2+z2-xy-yz-zx.
  • Print the result.

Program:

import java.lang.Math;
import  java.util.Scanner;
class Main
{
    public static void main(String[] args)
    {
        //create object of scanner class.
        Scanner sc=new Scanner(System.in);
        System.out.print("x= ");
        //Declare an integer variable and prompt the user to enter corresponding value to it.
        int x= sc.nextInt();
        System.out.print("y= ");
        //Declare another integer variable and prompt the user to enter corresponding value to it.
        int y= sc.nextInt();
        System.out.print("z= ");
        //Declare another integer variable and prompt the user to enter corresponding value to it.
        int z= sc.nextInt();
        //declare another integer variable and assigned the formulated value to it.
        int res= (int)(Math.pow(x-y,2)+ Math.pow(y-z,2)+ Math.pow(z-x,2));	
        System.out.println("x2+y2+z2-xy-yz-zx = "+res);
    }
}

Output:

x= 3
y= 2
z= 7
x2+y2+z2-xy-yz-zx = 42

Method-3: Java Program to Compute x2+y2+z2-xy-yz-zx where Value of x, y, and z is Given By Using User Defined Method Function

Approach:

  • Declare and initialize three integer variables say x, y, and z.
  • Prompt the user to enter the values to the corresponding variables by using Scanner class.
  • Then call a user defined method say computeValue() and pass x, y, and z as parameter.
  • Then inside method by using the formula compute x2+y2+z2-xy-yz-zx.
  • Print the result.

Program:

import java.lang.Math;
import java.util.Scanner;
class Main
{
    public static void main(String[] args)
    {
        //create object of scanner class.
        Scanner sc=new Scanner(System.in);
        System.out.print("x= ");
        //Declare an integer variable and prompt the user to enter corresponding value to it.
        int x= sc.nextInt();
        System.out.print("y= ");
        //Declare another integer variable and prompt the user to enter corresponding value to it.
        int y= sc.nextInt();
        System.out.print("z= ");
        //Declare another integer variable and prompt the user to enter corresponding value to it.
        int z= sc.nextInt();
        //call the function
        computeValue(x,y,z);
    }
    
    //define the method
    public static void computeValue(int x,int y, int z)
    {
        //declare another integer variable and assigned the formulated value to it.
        int res= (int)(Math.pow(x-y,2)+ Math.pow(y-z,2)+ Math.pow(z-x,2));	
        System.out.println("x2+y2+z2-xy-yz-zx = "+res);
    }
}

Output:

x= 20
y= 30
z= 40
x2+y2+z2-xy-yz-zx = 600

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