Java Program to Compute a3-b3-c3-3abc where Value of a, b and c are Given

Java Program to Compute a3-b3-c3-3abc where Value of a, b and c are Given

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In the previous article we have discussed Java Program to Compute a3+b3-c3+3abc where Value of a, b and c are Given

In this program we are going to see how to compute a3-b3-c3-3abc where value of a, b, and c are given by using Java programming language.

Java Program to Compute a3-b3-c3-3abc where Value of a, b and c are Given

The formula of a3-b3-c3-3abc is given below.

a3-b3-c3-3abc = (a – b – c)(a2 + b2 + c2 + ab – bc + ca)

Now we will convert this into a valid Java expression.

Let x= a3-b3-c3-3abc

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

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

Example:

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

a3-b3-c3-3abc
= (a-b-c)*( (a * a) + (b * b) +(c*c)+ (a * b)-(b * c)+( c * a))
= (2-2-2)*((2 * 2) + (2 * 2) +(2*2)+( 2 * 2)-( 2 * 2)+( 2 * 2))
= -32

Now let’s see different ways to compute a3-b3-c3-3abc

Method-1: Java Program to Compute a3-b3-c3-3abc 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-b3-c3-3abc
  • Print the result.

Program:

class Main
{
    public static void main(String[] args)
    {
        //declare the first integer variable with a integer value
        int a= 4;
        System.out.println("a= " +a);
        //declare the second integer variable with a integer value
        int b= 4;
        System.out.println("b= "+b);
        //declare the third integer variable with a integer value
        int c= 2;
        System.out.println("c= "+c);
        //declare another integer variable and assigned the formulated value to it.
        int d=(a-b-c)*( (a * a) + (b * b) +(c*c)+ (a * b)-(b * c)+( c * a));
        System.out.println("a3-b3-c3-3abc= "+d);
    }
}

Output:

a= 4
b= 4
c= 2
a3-b3-c3-3abc= -104

Method-2: Java Program to Compute a3-b3-c3-3abc where Value of a, b and c are Given By Using User Input Value and Pow() Function

Approach:

  • Declare three integer variables say a, b and c.
  • Prompt the user to enter the values to the corresponding variables by using Scanner class.
  • Then By using the formula compute a3-b3-c3-3abc
  • 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 third input from the user.
        int c= sc.nextInt();
        //declare another integer variable and assigned the formulated value to it.
        double  d=(a-b-c)*((Math.pow(a,2)) + (Math.pow(b,2)) +( Math.pow(c,2))+(a * b)-( b * c)+( c * a));
        System.out.println("a3-b3-c3-3abc=  "+(int)d);
    }
}

Output:

a= 12
b= 34
c= 45
a3-b3-c3-3abc= -183781

Method-3: Java Program to Compute a3-b3-c3-3abc where Value of a, b and c are Given By Using User Defined Method

Approach:

  • Declare three integer variables say a, b and c.
  • 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 a, b and c as parameter.
  • Then inside method by using the formula compute a3-b3-c3-3abc
  • 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 third input from the user.
        int c= sc.nextInt();
        //call the funtion
        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=(a-b-c)*( (a * a) + (b * b) +(c*c)+ (a * b)-(b * c)+( c * a));
        System.out.println("a3-b3-c3-3abc= "+d);
    }
}

Output:

a= 54
b= 43
c= 32
a3-b3-c3-3abc= -177723

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