(a+b)^3=
(a-b)^3=
plzz answer this
Answers
Answered by
0
REFER TO THE ATTACHMENT
Attachments:
Answered by
1
• (a + b)³
= (a + b)²(a + b)
= (a² + ab + ab + b²)(a + b)
= (a² + 2ab + b²)(a + b)
= a³ + 2a²b + ab² + a²b + 2ab² + b³
= a³ + 3a²b + 3ab² + b³
= a³ + 3ab(a + b) + b³
_______________________
• (a - b)³
= (a - b)²(a - b)
= (a² - ab - ab + b²)(a - b)
= (a² - 2ab + b²)(a - b)
= a³ - 2a²b + ab² - a²b + 2ab² - b³
= a³ - 3a²b + 3ab² - b³
= a³ + 3ab(b - a) - b³
_______________________
Other identities include :
- (a + b)² = a² + b² + 2ab
- (a - b)² = a² + b² - 2ab
- a² - b² = (a + b)(a - b)
Similar questions