Question

Identity (a-b)³-(a+b)³=

Answer 1

Hi friend!!

We know that

(a+b)³=a³+b³+3a²b+3ab²

(a-b)³=a³-3a²b+3ab²-b³


Now, (a-b)³-(a+b)³

=a³-3a²b+3ab²-b³-(a³+b³+3a²b+3ab²)

=-6a²b-2b³

=-2b(3a²-b²)

I hope this will help you ;)

Answer 2

Hey dear!

Here is yr answer.......

= (a-b) ³ - (a+b)³

[ (a-b)³ = a³-3a²b+3ab²-b³ ]

[ (a+b)³ = a³+3a²b+3ab²+b³]

= a³-3a²b+3ab²-b³-(a³+3a²b+3ab²+b³)

= a³-3a²b+3ab²-b³-a³-3a²b-3ab²-b³

= -6a²b - 2b³

= -2b(3a²-b²) ✔


Hope it hlpz....