Java Program to Compute (a+b)4 where Value of a and b are Given

Java Program to Compute (a+b)4 where Value of a and b are Given

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In the previous article we have discussed Java Program to Compute (a-b)3 where Value of a and b are Given

In this program we are going to see how to compute (a+b)4 where value of a and b are given by using Java programming language.

Java Program to Compute (a+b)4 where Value of a and b are Given

The formula of (a + b)4 is given below.

(a + b)4 = a4 + b4 + 4a3b + 6a2b2 + 4ab3

Now we will convert this into a valid Java expression.

Let x= (a+b)4

=  a4 + b4 + 4a3b + 6a2b2 + 4ab3

= (a * a * a * a) + (b * b * b * b) + (4 * a * a * a * b) + (6 * a * a * b  * b) + (4 * a * b * b * b)

Example:

Suppose a=2 and b=2, then

(a+b)4
= (a * a * a * a) + (b * b * b * b) + (4 * a * a * a * b) + (6 * a * a * b  * b) + (4 * a * b * b * b)
= (2*2*2*2)+(2*2*2*2)+(4*2*2*2*2)+(6*2*2*2*2)+(4*2*2*2*2)
= 256

Now let’s see different ways to compute (a+b)4

Method-1: Java Program to Compute (a+b)4 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 (a+b)4
  • 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= 4;
        System.out.println("b= "+b);
        //declare another integer variable and assigned the formulated value to it.
        int c=(a*a*a*a) + (b*b*b*b) + (4*a*a*a*b) + (6*a*a*b*b) + (4*a*b*b*b);  
        System.out.println("(a+b)4= "+c);
    }
}

Output:

a= 4
b= 4
(a+b)4= 4096

Method-2: Java Program to Compute (a+b)4 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 (a+b)4
  • 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*a*a) + (b*b*b*b) + (4*a*a*a*b) + (6*a*a*b*b) + (4*a*b*b*b);  
        System.out.println("(a+b)4= "+c);
    }
}

Output:

a= 4
b= 5
(a+b)4= 6561

Method-3: Java Program to Compute (a+b)4 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 (a+b)4
  • 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*a*a) + (b*b*b*b) + (4*a*a*a*b) + (6*a*a*b*b) + (4*a*b*b*b);  
        System.out.println("(a+b)4= "+c);
    }
}

Output:

a= 8
b= 10
(a+b)4= 104976

If you are new to Java and want to learn the java coding skills too fast. Try practicing the core java programs with the help of the Java basic programs list available.

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