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

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

In this program we are going to see how to compute (a+b)2+(a-b)2 where value of a and b are given by using Java programming language.

Some of the example to how to compute the values of a and b are:

• A B Java
• A^B In Java
• Java A B
• A B In Java
• Java Ab
• (A+B)^2-(A-B)^2
• A 2 B 2 Formula
• (A-B)(A+B)
• A & B In Java
• A%B In Java
• A-B 2
• (A +B)^2
• (A-B)2
• A%B Java
• A^B Java
• (A+B)2-(A-B)2
• (A+B)^2+(A-B)^2
• (A+B)2 + (A-B)2
• A+B)^2+(A-B)^2
• (A+B)2+(A-B)2
• (A+B)^2 + (A-B)^2

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

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

(a+b)2+(a-b)2  =  2(a2 + b2)

Now we will convert this into a valid Java expression.

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

=  2(a2 + b2)

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

Example:

Suppose a=2 and b=2, Then

(a+b)2+(a-b)2
= 2*((a*a) + (b*b))
=2*((2*2)+(2*2))
=16

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

### Method-1: Java Program to Compute (a+b)2+(a-b)2 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)2+(a-b)2
• 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= 2;
System.out.println("b= "+b);
//declare another integer variable and assigned the formulated value to it.
int c=  2*((a*a) + (b*b));
System.out.println("(a+b)2+(a-b)2 = "+c);
}
}

Output:

a= 4
b= 2
(a+b)2+(a-b)2 = 40

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

Approach:

• Declare two integer variables say a and b.
• Prompt the user to enter the values to the corresponding variables by using Scanner class.
• Then By using the formula compute (a+b)2+(a-b)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();
//declare another double variable and assigned the formulated value to it.
double c=2*(Math.pow(a,2)+ Math.pow(b,2));
//Typecasting the value of c to integer value
System.out.println("(a+b)2+(a-b)2= "+(int)c);
}
}

Output:

a= 4
b= 5
(a+b)2+(a-b)2= 82

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

Approach:

• Declare two integer variables say a and b.
• 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 and b as parameter.
• Then inside method by using the formula compute (a+b)2+(a-b)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();
//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=  2*((a*a) + (b*b));
System.out.println("(a+b)2+(a-b)2 = "+c);
}
}

Output:

a= 10
b= 20
(a+b)2+(a-b)2 = 1000

Grab the opportunity to learn all effective java programming language concepts from basic to advance levels by practicing these Java Program Examples with Output.

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