# Java Program to Compute (a-b)2+(b-c)2+(c-a)2 where Value of a, b, and c are Given

In the previous article we have discussed 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  (a-b)2+(b-c)2+(c-a)2   where value of a, b, and c are given by using Java Programming language.

## Java Program to Compute (a-b)2+(b-c)2+(c-a)2 where Value of a, b, and c are Given

The formula of (a-b)2+(b-c)2+(c-a)2 is given below.

(a-b)2+(b-c)2+(c-a)2  = 2a2 + 2b2 + 2c2 -2ab – 2bc -2ca

Now we will convert this into a valid Java expression.

Let x= (a-b)2+(b-c)2+(c-a)2

=  2a2 + 2b2 + 2c2 -2ab – 2bc -2ca

=2*(a*a) + 2*(b*b) + 2*(c*c) – 2*(a*b) – 2*(b*c) – 2*(c*a)

Example:

Suppose a=4, b=2 and c= 3, Then

(a-b)2+(b-c)2+(c-a)2
= 2*(a*a) + 2*(b*b) + 2*(c*c) - 2*(a*b) - 2*(b*c) - 2*(c*a)
= 2*(4*4) + 2*(2*2) + 2*(3*3) - 2*(4*2) - 2*(2*3) - 2*(3*4)
= 6

Now let’s see different ways to compute (a-b)2+(b-c)2+(c-a)2

### Method-1: Java Program to Compute (a-b)2+(b-c)2+(c-a)2 where Value of a, b, and c are Given By Using Static Input Value

Approach:

• Declare and initialize three integer variables say a, b, and c.
• By using the formula compute (a-b)2+(b-c)2+(c-a)2
• Print the result.

Program:

class Main
{
public static void main(String[] args)
{
//declare the first integer variable with an integer value
int a= 4;
System.out.println("a= " +a);
//declare the second integer variable with an integer value
int b= 2;
System.out.println("b= "+b);
//declare the second integer variable with an integer value
int c= 3;
System.out.println("c= "+c);

//declare another integer variable and assigned the formulated value to it.
int d=2*(a*a) + 2*(b*b) + 2*(c*c) - 2*(a*b) - 2*(b*c) - 2*(c*a);
System.out.println("(a-b)2+(b-c)2+(c-a)2= "+d);
}
}

Output:

a= 4
b= 2
c= 3
(a-b)2+(b-c)2+(c-a)2= 6

### Method-2: Java Program to Compute (a-b)2+(b-c)2+(c-a)2 where Value of a, b, and c are Given By Using User Input Value and Pow()

Approach:

• Declare three integer variables say a, b, and c.
• Take the value of a, b, and c as user input by using Scanner class.
• Then By using the formula compute (a-b)2+(b-c)2+(c-a)2
• 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("a= ");
//Take the first input from the user.
int a= sc.nextInt();
System.out.print("b= ");
//Take the second input from the user.
int b= sc.nextInt();
System.out.print("c= ");
//Take the first input from the user.
int c= sc.nextInt();
//declare another double variable and assigned the formulated value to it.
double d=2*Math.pow(a,2)+ 2*Math.pow(b,2)+ 2*Math.pow(c,2)-2*(a*b) -2*(b*c) -2*(c*a);
System.out.println("(a-b)2+(b-c)2+(c-a)2= "+d);
}
}

Output:

a= 23
b= 45
c= 34
(a-b)2+(b-c)2+(c-a)2= 726.0

### Method-3: Java Program to Compute (a-b)2+(b-c)2+(c-a)2 where Value of a, b, and c are Given By Using User Defined Method

Approach:

• Declare three integer variables say a, b, and c.
• Take the value of a, b and c as user input by using Scanner class.
• Then call a user defined method say computeValue() and pass a, b, and c as parameter.
• Then inside method by using the formula compute (a-b)2+(b-c)2+(c-a)2
• Print the result.

Program:

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("a= ");
//Take the first input from the user.
int a= sc.nextInt();
System.out.print("b= ");
//Take the second input from the user.
int b= sc.nextInt();
System.out.print("c= ");
//Take the first input from the user.
int c= sc.nextInt();
//call the function
computeValue(a,b,c);
}

//define the method
public static void computeValue(int a, int b,int c)
{
//declare another integer variable and assigned the formulated value to it.
int d=2*(a*a) + 2*(b*b) + 2*(c*c) - 2*(a*b) - 2*(b*c) - 2*(c*a);
System.out.println("(a-b)2+(b-c)2+(c-a)2= "+d);
}
}

Output:

a= 56
b= 78
c= 90
(a-b)2+(b-c)2+(c-a)2= 1784

Enhancing programming skills is very important no matter what language you have chosen. So, practice frequently with these simple java programs examples and excel in coding the complex logic.

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