Algebra

Basic Algebra

• Addition
• Subtraction
• Multiplication
• Division

Indices

• Indices
• Positive Indices
• Negative Indices

Algebraic Identities

• (a+b)²=a²+2ab+b²
• (a-b)²=a²-2ab+b²
• (a+b)(a-b)=a²-b²
• (a+b)³=a³+3a²b+3ab²+b³
• (a-b)³=a³-3a²b+3ab²-b³
• (a+b)(a²-ab+b²)=a³+b³
• (a-b)(a²+ab+b²)=a³-b³

Factorization

• Factorization
• Factorization by Grouping
• Factorization by Middle Term Breaking
• Factorization a²+2ab+b²=(a+b)²
• Factorization a²-2ab+b²=(a-b)²
• Factorization a²-b²=(a+b)(a-b)
• Factorization a³+3a²b+3ab²+b³=(a+b)³
• Factorization a³-3a²b+3ab²-b³=(a-b)³
• Factorization a³+b³=(a+b)(a²-ab+b²)
• Factorization a³-b³=(a-b)(a²+ab+b²)

Algebraic Equations

• Linear Equations
• Quadratic Equation by Factorization
• Quadratic Equation by Middle Term Breaking
• Quadratic Equation by Completing the Square Method
• Quadratic Equation by Quadratic Formula