Question

simplify (a-b) (a²+b²+ab) - ( a+b) (a²+b²-ab)​

Answer 1

Answer:

2(a^b-b^3)

Step-by-step explanation:

(a-b) (a²+b²+ab) - (a+b) (a²+b²-ab)

(a-b) (a+b)^2 - (a+b) (a-b)^2

(a-b)(a+b)((a+b)-(a-b))

(a^2-b^2) (2b)

2a^2b-2b^3

2(a^b-b^3)

Answer 2

Answer:

Answer is -2b³

Step-by-step explanation:

(a-b) (a²+b²+ab) - ( a+b) (a²+b²-ab)

We know that (a-b) (a²+b²+ab) = a³-b³

( a+b) (a²+b²-ab)= a³+b³

So, (a³-b³)-(a³+b³)

a³-b³-a³-b³

a³ and (-a³) will cut

-b³-b³= -2b³