📐 Square of a Binomial Calculator
Calculate (a + b)²
(a + b)²
How to Use This Calculator
1
Enter a
Type the first term of the binomial.
2
Enter b
Type the second term of the binomial.
3
Calculate
See the step-by-step expansion and final result.
Formula
(a + b)² = a² + 2ab + b²
Perfect square trinomial pattern
Example 1: (2 + 3)²
(2 + 3)² = 2² + 2(2)(3) + 3²
(2 + 3)² = 4 + 12 + 9
Result: 25
Example 2: (x + 5)²
(x + 5)² = x² + 2(x)(5) + 5²
Result: x² + 10x + 25
About Square of a Binomial Calculator
The Square of a Binomial Calculator expands (a + b)² using the perfect square formula. This is a special case of FOIL multiplication that creates a perfect square trinomial. Knowing this pattern makes squaring binomials much faster than using FOIL.
When to Use This Calculator
- Squaring: Expand (a + b)² quickly
- Factoring: Recognize perfect square trinomials
- Algebra: Simplify binomial expressions
Why Use Our Calculator?
- ✅ Step-by-Step: See all terms
- ✅ Visual: Clear expansion process
- ✅ Educational: Learn the pattern
- ✅ Free Tool: No registration
The Pattern
- Square of first term: a²
- Twice the product: 2ab
- Square of second term: b²
- Remember: (a + b)² ≠ a² + b²!
Frequently Asked Questions
Is (a + b)² = a² + b²?
No! Don't forget the middle term 2ab. (a + b)² = a² + 2ab + b²
What about (a - b)²?
(a - b)² = a² - 2ab + b². The pattern is similar but middle term is negative.