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Algebra Formula Solution Tool

Calculate and understand algebraic formulas with step-by-step solutions

Algebra Formulas

Select a formula to calculate:

Basic Identities

a² – b² = (a – b)(a + b)
(a + b)² = a² + 2ab + b²
a² + b² = (a + b)² – 2ab
(a – b)² = a² – 2ab + b²

Three Variable Formulas

(a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca
(a – b – c)² = a² + b² + c² – 2ab + 2bc – 2ca

Cubic Formulas

(a + b)³ = a³ + 3a²b + 3ab² + b³
(a – b)³ = a³ – 3a²b + 3ab² – b³
a³ + b³ = (a + b)(a² – ab + b²)
a³ – b³ = (a – b)(a² + ab + b²)

Higher Power Formulas

(a + b)⁴ = a⁴ + 4a³b + 6a²b² + 4ab³ + b⁴
(a – b)⁴ = a⁴ – 4a³b + 6a²b² – 4ab³ + b⁴
a⁴ – b⁴ = (a – b)(a + b)(a² + b²)

Formula Calculator

Calculation Result

About This Algebra Formula Tool

This Algebra Formula Solution Tool is designed to help students, teachers, and math enthusiasts quickly calculate and understand various algebraic identities and expansions. With step-by-step solutions, you can learn how each formula works and verify your manual calculations.

Functions of the Tool

How to Use This Tool

  1. Select a formula from the left panel
  2. Enter the required values in the input fields
  3. Click the "Calculate" button to see the result
  4. Review the step-by-step solution to understand the process
  5. Use the "Export" button to save your results
  6. Click "Reset" to clear all inputs and start over

Algebra Formula Applications

Algebraic formulas are fundamental in mathematics and have wide applications in physics, engineering, computer science, economics, and many other fields. They help in simplifying complex expressions, solving equations, and understanding mathematical relationships.

User Reviews

Math Teacher ★★★★★

This tool is fantastic for demonstrating algebraic identities to my students. The step-by-step solutions make it easy for them to understand the process.

Engineering Student ★★★★☆

Very helpful for quick verifications of my calculations. Saves me time when working on complex problems that involve multiple algebraic expansions.

Parent ★★★★★

As a parent helping my child with algebra homework, this tool has been invaluable. It not only gives the answer but shows how to get there.