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

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= 216

### 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= 23
c= 34
a3+b3-c3+3abc= 2743

### 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= 11
b= 12
c= 13
a3+b3-c3+3abc= 6010

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