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Whole Square Calculator

Expand and solve (a + b)²
(a + b)² = a² + 2ab + b²
Please enter valid numbers for both a and b.

Enter values of a and b
to see the expansion

Result
0
a²-
2ab-
b²-
a² + 2ab + b²-

Also verified against direct computation: (a + b)²

A Plus B Whole Square Calculator

The A Plus B Whole Square Calculator is a simple online tool that helps you calculate the square of the sum of two numbers using the algebraic identity (a + b)². Enter the values of a and b to quickly get the calculated result.

What is the Formula for (a + b)²?

The standard whole square formula for the sum of two terms is:

(a + b)² = a² + 2ab + b²

This formula is also known as the square of a binomial. Instead of multiplying (a + b) by itself, you can use this identity to expand and calculate the expression quickly.

How to Use the A Plus B Whole Square Calculator?

  1. Enter the value of a.
  2. Enter the value of b.
  3. Click the Calculate button.
  4. The calculator will apply the formula (a + b)² = a² + 2ab + b² and display the result.

Example of (a + b)²

Suppose a = 5 and b = 3. Using the whole square formula:

(5 + 3)² = 5² + 2(5)(3) + 3²
= 25 + 30 + 9
= 64

Therefore, (5 + 3)² = 64.

Why Use This Calculator?

  • Quickly calculate the square of the sum of two numbers.
  • Useful for students learning algebra and mathematical identities.
  • Helps reduce manual calculation errors.
  • Easy to use on mobile, tablet, and desktop devices.
  • Useful for homework, practice, and exam preparation.

Frequently Asked Questions

What is the whole square identity?

The whole square identity for the sum of two terms is (a + b)² = a² + 2ab + b².

What is the difference between (a + b)² and a² + b²?

The expression (a + b)² includes an additional middle term, 2ab. Therefore, (a + b)² = a² + 2ab + b², not simply a² + b².

Can I use negative numbers?

Yes. The calculator can be used with positive or negative values, provided the input fields accept those numbers.

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