Difference of Two Squares Calculator
Enter two numbers or coefficients to instantly see their difference of squares factors. This tool is essential for simplifying algebraic expressions.
Pattern:
a² - b² = (a + b)(a - b)
9 - 16: (3 + 4)(3 - 4) = (7)(-1) = -7
What is the difference of two squares?
The difference of two squares is a squared number subtracted from another squared number, in the form a² - b².
How do you factor the difference of two squares?
The formula for factoring is a² - b² = (a + b)(a - b). This is one of the most common factoring patterns in algebra.
Can you factor a² + b²?
No, the sum of two squares cannot be factored over the set of real numbers. It only factors using imaginary numbers: (a + bi)(a - bi).
How do I identify a difference of two squares?
Check for three things: 1) There are exactly two terms. 2) Both terms are perfect squares. 3) There is a subtraction sign between them.
🔗 Related Calculators
📐 Formula
Pattern:
a² - b² = (a + b)(a - b)
📝 Example Calculation
9 - 16: (3 + 4)(3 - 4) = (7)(-1) = -7
❓ Frequently Asked Questions
What is the difference of two squares?▼
The difference of two squares is a squared number subtracted from another squared number, in the form a² - b².
How do you factor the difference of two squares?▼
The formula for factoring is a² - b² = (a + b)(a - b). This is one of the most common factoring patterns in algebra.
Can you factor a² + b²?▼
No, the sum of two squares cannot be factored over the set of real numbers. It only factors using imaginary numbers: (a + bi)(a - bi).
How do I identify a difference of two squares?▼
Check for three things: 1) There are exactly two terms. 2) Both terms are perfect squares. 3) There is a subtraction sign between them.