Java Program to Compute a3(b-c)+b3(c-a)+c3(a-b) where Value of a, b and c are Given

Java Program to Compute a3(b-c)+b3(c-a)+c3(a-b) where Value of a, b, and c are Given

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In the previous article we have discussed Java Program to Compute a(b2-c2)+b(c2-a2)+c(a2-b2) where Value of a, b and c are Given

In this program we are going to see how to compute  a3(b-c)+b3(c-a)+c3(a-b) where value of a, b, and c are given by using Java Programming language.

Java Program to Compute a3(b-c)+b3(c-a)+c3(a-b) where Value of a, b, and c are Given

The formula of a3(b-c)+b3(c-a)+c3(a-b) is given below.

a3(b-c)+b3(c-a)+c3(a-b) = (a-b)(b-c)(a-c)(a+b+c)

Now we will convert this into a valid Java expression.

Let x= a3(b-c)+b3(c-a)+c3(a-b)

=(a-b)(b-c)(a-c)(a+b+c)

=  (a-b)*(b-c)* (a-c)*(a+b+c)

Example:

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

a3(b-c)+b3(c-a)+c3(a-b)
= (a-b)*(b-c)* (a-c)*(a+b+c)
= (4-2)*(2-3)*(4-3)*(4+2+3)
= -18

Now let’s see different ways to compute a3(b-c)+b3(c-a)+c3(a-b)

Method-1: Java Program to Compute a3(b-c)+b3(c-a)+c3(a-b) 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 a3(b-c)+b3(c-a)+c3(a-b)
  • 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=(a-b)*(b-c)* (a-c)*(a+b+c);
        System.out.println("a3(b-c)+b3(c-a)+c3(a-b)= "+d);
    }
}

Output:

a= 4
b= 2
c= 3
a3(b-c)+b3(c-a)+c3(a-b)= -18

Method-2: Java Program to Compute a3(b-c)+b3(c-a)+c3(a-b) where Value of a, b, and c are Given By Using User Input Value

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 a3(b-c)+b3(c-a)+c3(a-b)
  • 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();
        //declare another integer variable and assigned the formulated value to it.
        int d=(a-b)*(b-c)* (a-c)*(a+b+c);
        System.out.println("a3(b-c)+b3(c-a)+c3(a-b)= "+d);
    }
}

Output:

a= 23
b= 45
c= 65
a3(b-c)+b3(c-a)+c3(a-b)= -2457840

Method-3: Java Program to Compute a3(b-c)+b3(c-a)+c3(a-b) 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 a3(b-c)+b3(c-a)+c3(a-b)
  • 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);
    }
    
    //computeValue() user defined method
    public static void computeValue(int a, int b, int c)
    {
        //declare another integer variable and assigned the formulated value to it.
        int d=(a-b)*(b-c)* (a-c)*(a+b+c);
        System.out.println("a3(b-c)+b3(c-a)+c3(a-b)= "+d);
    }
}

Output:

a= 12
b= 23
c= 21
a3(b-c)+b3(c-a)+c3(a-b)= 11088

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