Math & Algebra Tool
Difference of Two Squares
Instantly factor algebraic expressions following the a² - b² pattern.
Original Expression
(x)² - (5)²
Factored Result
(x - 5)(x + 5)
Σ The Formula
a² - b² = (a - b)(a + b)
Real World Examples
Standard Numbers
x² - 25 = (x - 5)(x + 5).
Multiple Variables
4k² - 9m² = (2k - 3m)(2k + 3m).
# About This Calculator
The Difference of Two Squares is a specific algebraic pattern where a squared term is subtracted from another squared term. It is one of the most common and useful factoring patterns in algebra.
Identifying this pattern allows you to:
- Quickly solve quadratic equations.
- Simplify complex rational expressions.
- Perform rapid mental math (e.g., 99² - 1² = (99-1)(99+1) = 9,800).
How To Use
- Enter the first term **(a)**.
- Enter the second term **(b)**.
- The tool generates the expression **a² - b²**.
- The **Factored Form** is displayed instantly.
Frequently Asked Questions
Does this work for a² + b²?+
No. The sum of two squares cannot be factored using real numbers (it requires complex/imaginary numbers).
What if my coefficient isn't a perfect square?+
You can still use the formula by taking the square root. For example, x² - 2 = (x - √2)(x + √2).
Is Difference of Two Squares free to use?+
Yes, Difference of Two Squares on Matheric is completely free to use. We believe in accessible education and utility for everyone.
How accurate is Difference of Two Squares?+
We use standard mathematical formulas and high-precision computing algorithms to ensure results for Difference of Two Squares are accurate for academic and professional use.
Can I use Difference of Two Squares on my phone?+
Yes! Difference of Two Squares is fully responsive and optimized for all devices, including smartphones, tablets, and desktops.
Do you save my data?+
No. We prioritize your privacy. All calculations are performed in your browser or temporarily processed, and we do not store your personal input data.
About
The Difference of Two Squares is a specific algebraic pattern where a squared term is subtracted from another squared term. It is one of the most common and useful factoring patterns in algebra.
Identifying this pattern allows you to:
- Quickly solve quadratic equations.
- Simplify complex rational expressions.
- Perform rapid mental math (e.g., 99² - 1² = (99-1)(99+1) = 9,800).