Answer:
(a + b)² = a² + 2ab + b²
(a - b)² = a² - 2ab + b²
a² - b² = (a - b) (a + b)
(a + b + c)² = a² + b² + c² + 2ab + 2ac + 2bc
(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)
(a + b + c)³ = a³ + b³ + c³ + 3a²b + 3a²c + 3b²c+ 3ab² + 3ac² + 3bc² + 6abc
(a + b)⁴ = a⁴ + 4a³b + 6a²b² + 4ab³ + b⁴
(a - b)⁴ = a⁴ - 4a³b + 6a²b² - 4ab³ + b⁴
(a + b)⁴ + (a - b)⁴ = 2a⁴ + 12a²b² + 2b⁴
Copyright © 2024 EHUB.TIPS team's - All rights reserved.
Answers & Comments
Verified answer
Answer:
(a + b)² = a² + 2ab + b²
(a - b)² = a² - 2ab + b²
a² - b² = (a - b) (a + b)
(a + b + c)² = a² + b² + c² + 2ab + 2ac + 2bc
(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)
(a + b + c)³ = a³ + b³ + c³ + 3a²b + 3a²c + 3b²c+ 3ab² + 3ac² + 3bc² + 6abc
(a + b)⁴ = a⁴ + 4a³b + 6a²b² + 4ab³ + b⁴
(a - b)⁴ = a⁴ - 4a³b + 6a²b² - 4ab³ + b⁴
(a + b)⁴ + (a - b)⁴ = 2a⁴ + 12a²b² + 2b⁴
For more Equations and Formulas in MATHS see the below PDFs.