Difference of Squares Calculator

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What Is Difference of Squares Calculator?

Difference of Squares Calculator is a free online tool used to find the difference of two whole numbers or decimals, by using the identity: (a2-b2)=(a+b)(a-b).

Cuemath's difference of squares calculator helps you to find the difference of squares of any two numbers within seconds.

How to Use the Difference of Squares Calculator?

Follow these simple steps to use the difference of squares calculator:

  • Step 1- Enter the values of 'a' and 'b' in each of the given boxes.
  • Step 2- Click on "Calculate".
  • Step 3- The difference of squares of those two numbers will be displayed.
  • Step 4- Click on "Reset" to clear the field and enter new values.

How to Calculate Difference of Squares?

Difference of squares can be calculated easily by using the following identity:

(a2-b2)=(a+b)(a-b)

For smaller numbers we can easily find the difference, for example, (32-22)=(3+2)(3-2), which is 5×1, which is equal to 5.

But for bigger numbers, our calculation would be very complex. So there comes the need of having this identity.

In the above calculator, we are using the same identity to calculate the difference of squares of any two numbers.

Solved Example:

Find the value of 362-232.

Solution:

Enter 36 in the box for number 'a' and 23 in the box for number 'b', and click on "Calculate".

You will find your answer.

362-232=(36+23)(36-23)

            =59×13

            = 767

∴  362-232=767.

Now, use the above difference of squares calculator to calculate the following expressions:

  • 262-132
  • 42-3.42

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