# Expansion Formulas in Java

layout: default

title: Expansion Formulas in Java

description: A simple java program to take the input a and b and display the output based on the formula selected by the user.

I was practising Maths and a thought came up to my mind that I should make a program in Java that could take the input in variables 'a' and 'b' and then it will ask the user which formulae of expansion they want to perform. Something like this. Currently, it has only 5 formulas because I am lazy to add more.

## Code

I started with displaying the formulas this program can execute in the console

```
System.out.println("Choose the Formula");
System.out.println("Enter 1 for (a+b)^2");
System.out.println("Enter 2 for (a-b)^2");
System.out.println("Enter 3 for (a^2 - b^2)");
System.out.println("Enter 4 for (a+b)^3");
System.out.println("Enter 5 for (a-b)^3");
```

So, this program will work for the following formulas:

- (a+b)²
- (a-b)²
- (a² - b²)
- (a+b)³
- (a-b)³

I took the input of the choice in a variable **ip** (Don't know why I chose this name 😅) which is of integer data type.

```
int ip = sc.nextInt();
```

I also took the value of 'a' and 'b' as input, because they are common variables (Common variables are the variables which are repeatedly used in every conditional statement, it is preferred to take the common variable's value input before the conditional statements start.)

```
System.out.println("Enter the value of a and b");
double a = sc.nextDouble();
double b = sc.nextDouble();
```

The variables a and b will contain the values, input by the user.

(Note: variable a and b are of the double datatype, because the user may want to enter a decimal number.)

Now, when you have got the values, you just have to put the formula and solve it. This will work for Maths but in Java, you have to do a little bit more work.

First, there is a condition, which will execute the formulae which the user has entered.

For example, if the user entered choice 1, the program will calculate (a+b)² from the given values of a and b.

Similarly, if the user entered choice 5, the program will calculate (a-b)³.

If the user enters any other choice, he will get the output: "Wrong Choice".

This is the block of statements that will execute if the user enters choice 1:

```
ans = a*a + 2*a*b + b*b;
System.out.println("Working:");
System.out.println("a*a + 2*a*b + b*b");
System.out.println(ans);
```

Note: (a+b)² = a² + b² + 2ab but, in Java this expression will be written as,

```
a*a + 2*a*b + b*b
```

Similarly, expressions for the rest of the formulas:

(a-b)²

`a*a - 2*a*b + b*b`

a²-b²

`(a+b) * (a-b)`

- (a+b)³
`a*a*a + b*b*b + 3*a*b *(a+b)`

- (a-b)³

Pretty easy, right? Let me know on Twitter @MayankVikash1 Made by: Mayank Vikash`a*a*a - b*b*b - 3*a*b *(a-b)`

- (a-b)³

## Source Code

```
import java.util.*;
public class ExpansionFormulas {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
double ans;
System.out.println("Choose the Formula");
System.out.println("Enter 1 for (a+b)^2");
System.out.println("Enter 2 for (a-b)^2");
System.out.println("Enter 3 for (a^2 - b^2)");
System.out.println("Enter 4 for (a+b)^3");
System.out.println("Enter 5 for (a-b)^3");
int ip = sc.nextInt();
System.out.println("Enter the value of a and b");
double a = sc.nextDouble();
double b = sc.nextDouble();
if (ip ==1){
ans = a*a + 2*a*b + b*b;
System.out.println("Working:");
System.out.println("a*a + 2*a*b + b*b");
System.out.println(ans);
}
else if (ip == 2){
ans = a*a - 2*a*b + b*b;
System.out.println("Working:");
System.out.println("a*a - 2*a*b + b*b");
System.out.println(ans);
}
else if (ip ==3){
ans = (a+b) * (a-b);
System.out.println("Working:");
System.out.println("(a+b) * (a-b)");
System.out.println(ans);
}
else if (ip == 4){
ans = a*a*a + b*b*b + 3*a*b *(a+b);
System.out.println("Working:");
System.out.println("a*a*a + b*b*b + 3*a*b *(a+b)");
System.out.println(ans);
}
else if (ip == 5){
ans = a*a*a - b*b*b - 3*a*b *(a-b);
System.out.println("Working:");
System.out.println("a*a*a - b*b*b - 3*a*b *(a-b)");
System.out.println(ans);
}
else{
System.out.println("Wrong Choice");
}
}
}
```

## Output

### Image

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