Algebraic Identities (English)
- (a + b)² = a² + 2ab + b²
- (a − b)² = a² − 2ab + b²
- a² − b² = (a + b)(a − b)
- (a + b)³ = a³ + b³ + 3ab(a + b)
- (a − b)³ = a³ − b³ − 3ab(a − b)
- a³ + b³ = (a + b)(a² − ab + b²)
- a³ − b³ = (a − b)(a² + ab + b²)
- (a + b + c)² = a² + b² + c² + 2(ab + bc + ca)
- (a − b − c)² = a² + b² + c² − 2ab − 2ac + 2bc
- (x + a)(x + b) = x² + (a + b)x + ab
- (a + b)⁴ = a⁴ + 4a³b + 6a²b² + 4ab³ + b⁴
- (a² − b²)² = a⁴ − 2a²b² + b⁴
- (a + b)³ + (a − b)³ = 2(a³ + 3ab²)
Algebraic Identities (Telugu)
- (a + b)² = a² + 2ab + b² — (a+b) చదరము = a² + 2ab + b²
- (a − b)² = a² − 2ab + b²
- a² − b² = (a + b)(a − b)
- (a + b)³ = a³ + b³ + 3ab(a + b)
- (a − b)³ = a³ − b³ − 3ab(a − b)
- a³ + b³ = (a + b)(a² − ab + b²)
- a³ − b³ = (a − b)(a² + ab + b²)
- (a + b + c)² = a² + b² + c² + 2(ab + bc + ca)