In the previous article we have discussed Java Program to Compute (x+a)(x+b) where Value of x, a and b are Given
In this program we are going to see how to compute (a-b)2+(b-c)2+(c-a)2 where value of a, b, and c are given by using Java Programming language.
Java Program to Compute (a-b)2+(b-c)2+(c-a)2 where Value of a, b, and c are Given
The formula of (a-b)2+(b-c)2+(c-a)2 is given below.
(a-b)2+(b-c)2+(c-a)2 = 2a2 + 2b2 + 2c2 -2ab – 2bc -2ca
Now we will convert this into a valid Java expression.
Let x= (a-b)2+(b-c)2+(c-a)2
= 2a2 + 2b2 + 2c2 -2ab – 2bc -2ca
=2*(a*a) + 2*(b*b) + 2*(c*c) – 2*(a*b) – 2*(b*c) – 2*(c*a)
Example:
Suppose a=4, b=2 and c= 3, Then (a-b)2+(b-c)2+(c-a)2 = 2*(a*a) + 2*(b*b) + 2*(c*c) - 2*(a*b) - 2*(b*c) - 2*(c*a) = 2*(4*4) + 2*(2*2) + 2*(3*3) - 2*(4*2) - 2*(2*3) - 2*(3*4) = 6
Now let’s see different ways to compute (a-b)2+(b-c)2+(c-a)2
Method-1: Java Program to Compute (a-b)2+(b-c)2+(c-a)2 where Value of a, b, and c are Given By Using Static Input Value
Approach:
- Declare and initialize three integer variables say
a
,b
, andc
. - By using the formula compute (a-b)2+(b-c)2+(c-a)2
- 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=2*(a*a) + 2*(b*b) + 2*(c*c) - 2*(a*b) - 2*(b*c) - 2*(c*a); System.out.println("(a-b)2+(b-c)2+(c-a)2= "+d); } }
Output: a= 4 b= 2 c= 3 (a-b)2+(b-c)2+(c-a)2= 6
Method-2: Java Program to Compute (a-b)2+(b-c)2+(c-a)2 where Value of a, b, and c are Given By Using User Input Value and Pow()
Approach:
- Declare three integer variables say
a
,b
, andc
. - Take the value of a, b, and c as user input by using Scanner class.
- Then By using the formula compute (a-b)2+(b-c)2+(c-a)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(); System.out.print("c= "); //Take the first input from the user. int c= sc.nextInt(); //declare another double variable and assigned the formulated value to it. double d=2*Math.pow(a,2)+ 2*Math.pow(b,2)+ 2*Math.pow(c,2)-2*(a*b) -2*(b*c) -2*(c*a); System.out.println("(a-b)2+(b-c)2+(c-a)2= "+d); } }
Output: a= 23 b= 45 c= 34 (a-b)2+(b-c)2+(c-a)2= 726.0
Method-3: Java Program to Compute (a-b)2+(b-c)2+(c-a)2 where Value of a, b, and c are Given By Using User Defined Method
Approach:
- Declare three integer variables say
a
,b
, andc
. - 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 (a-b)2+(b-c)2+(c-a)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(); System.out.print("c= "); //Take the first input from the user. int c= sc.nextInt(); //call the function 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=2*(a*a) + 2*(b*b) + 2*(c*c) - 2*(a*b) - 2*(b*c) - 2*(c*a); System.out.println("(a-b)2+(b-c)2+(c-a)2= "+d); } }
Output: a= 56 b= 78 c= 90 (a-b)2+(b-c)2+(c-a)2= 1784
Enhancing programming skills is very important no matter what language you have chosen. So, practice frequently with these simple java programs examples and excel in coding the complex logic.
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