factorise (a + b) ^3 - (a - b)^3
Answers
Answered by
10
Hola Friend!!!!
( a + b )³ - ( a - b )³
= [ a³ + b³ + 3a²b + 3ab² ] - [ a³ - b³ - 3a²b + 3ab² ]
= [ a³ + b³ + 3a²b + 3ab² - a³ + b³ +3a²b - 3ab² ]
= [ 2b³ + 6a²b ]
= 2b × [ b + 3a² ]
Hope it helps
( a + b )³ - ( a - b )³
= [ a³ + b³ + 3a²b + 3ab² ] - [ a³ - b³ - 3a²b + 3ab² ]
= [ a³ + b³ + 3a²b + 3ab² - a³ + b³ +3a²b - 3ab² ]
= [ 2b³ + 6a²b ]
= 2b × [ b + 3a² ]
Hope it helps
Similar questions