Java Program to Compute a4+b4 where Value of a and b are Given

Java Program to Compute a4+b4 where Value of a and b are Given

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In the previous article we have discussed Java Program to Compute a3-b3 where Value of a and b are Given

In this program we are going to see how to compute a4+b4   where value of a and b are given by using Java programming language.

Java Program to Compute a4+b4 where Value of a and b are Given

The formula of a4+b4 is given below.

a4+b4  = [(a + b)2 – 2ab]2 – 2(ab)2

Now we will convert this into a valid Java expression.

Let x= a4+b4   

=  [(a + b)2 – 2ab]2 – 2(ab)2

=  [a2 + b2 + 2ab – 2ab]2 – 2(ab)2

=[a2 + b2]2 – 2(a2b2)

=[(a2 + b2) (a2 + b2)]– 2(a2b2)

= (((a*a)+(b*b))*((a*a)+(b*b)))-(2*a*a*b*b)

Example:

Suppose a=4 and b=2, then

a4+b4
= (((a*a)+(b*b))*((a*a)+(b*b)))-(2*a*a*b*b)
= (((4*4)+(2*2))*((4*4)+(2*2)))-(2*4*4*2*2)
= 272

Now let’s see different ways to compute a4+b4   

Method-1: Java Program to Compute a4+b4 where Value of a and b are Given By Using Static Input Value

Approach:

  • Declare and initialize two integer variables say a and b.
  • By using the formula compute a4+b4  .
  • 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 another integer variable and assigned the formulated value to it.
        int c= (((a*a)+(b*b))*((a*a)+(b*b)))-(2*a*a*b*b);
        System.out.println("a4+ b4= "+c);
    }
}

Output:

a= 4
b= 2
a4+ b4= 272

Method-2: Java Program to Compute a4+b4 where Value of a and b are Given By Using User Input Value

Approach:

  • Declare two integer variables say a and b.
  • Take the value of a and b as user input by using Scanner class.
  • Then By using the formula compute a4+b4  .
  • 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();
        //declare another integer variable and assigned the formulated value to it.
        int c= (((a*a)+(b*b))*((a*a)+(b*b)))-(2*a*a*b*b);
        System.out.println("a4 + b4= "+c);
    }
}

Output:

a= 4
b= 5
a4 + b4= 881

Method-3: Java Program to Compute a4+b4 where Value of a and b are Given By Using User Defined Method

Approach:

  • Declare two integer variables say a and b.
  • Take the value of a and b as user input by using Scanner class.
  • Then call a user defined method say computeValue() and pass a and b as parameter.
  • Then inside method by using the formula compute a4+b4  .
  • 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();
        //call the function
        computeValue(a,b);
    }
    //define the method
    public static void computeValue(int a, int b)
    {
        //declare another integer variable and assigned the formulated value to it.
        int c= (((a*a)+(b*b))*((a*a)+(b*b)))-(2*a*a*b*b);
        System.out.println("a4 + b4= "+c);
    }
}

Output:

a= 8
b= 10
a4 + b4= 14096

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