# Difference between sum of square and square of sum in JavaScript

We are required to write a JavaScript function that takes a number, say n, as the one and the only input.

The function should −

• Calculate the sum of squares of the first n natural numbers.

• Calculate the square of sums of first n natural numbers.

• Return the absolute difference between the both figures obtained.

For example: If n = 5;

Then,

sum of squares = 1 + 4 + 9 + 16 + 25 = 55
square of sums = 15 * 15 = 225

Hence, output = 225 − 55 = 170

## Example

The code for this will be −

const squareDifference = (num = 1) => {
let x = 0;
let y = 0;
let i = 0;
let j = 0;
// function to compute the sum of squares
(function sumOfSquares() {
while (i <= num) {
x += Math.pow(i, 2);
i++;
}
return x;
}());
// function to compute the square of sums
(function squareOfSums() {
while (j <= num) {
y += j;
j++;
}
y = Math.pow(y, 2);
return y;
}());
// returning the absolute difference
return Math.abs(y − x);
};
console.log(squareDifference(1));
console.log(squareDifference(5));
console.log(squareDifference(10));
console.log(squareDifference(15));

## Output

And the output in the console will be −

0
170
2640
13160