Basic Algebra Formulas
Algebraic formulas are mathematical expressions that help us understand the relationships and patterns between variables, constants, and operations. These formulas are used to solve equations, simplify expressions, and explain mathematical relationships.
Here are some basic formulas of algebra that used in various areas of mathematics and applications:
Also Read: Basic Algebraic Concepts
Basic Algebra Formulas
Square formulas
- (a+b)² = a² + b² + 2ab
- (a-b)² = a² + b² – 2ab
- (a+b)² + (a-b)² = 2( a² + b² )
- (a+b)² – (a-b)² = 4ab
- a² – b² = (a-b)(a+b)
- a² + b² = (a + b)² – 2ab
- (a+b+c)² = a²+b²+c²+2ab+2ac+2bc
- (a-b-c)² = a²+b²+c²-2ab-2ac+2bc
Cube Formulas:
- (a+b)³ = a³ + b³ + 3a²b + 3ab² OR a³ + b³ + 3ab(a + b)
- (a-b)³ = a³ – 3a²b + 3ab² – b³ OR a³ – b³ – 3a²b + 3ab² OR a³ – b³ – 3ab(a – b)
- (a+b)³ + (a-b)³ = 2a³ + 6ab²
- (a+b)³ – (a-b)³ = 6a²b + 2b³
- a³ + b³ = (a + b) (a² + b² – ab)
- a³ – b³ = (a – b) (a² + b² + ab)
- (a + b + c)³ = a³ + b³ + c³ + 3a²b + 3a²c + 3ab² + 3ac² + 3bc² + 3b²c + 6abc
- a³ + b³ + c³ – 3abc = (a + b + c)(a² + b² + c² – ab – bc – ac)
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