Question

Resolve into factors (a+b)³-(a-b)³​

Answer 1

Answer:

(2) (b³+3a²b)

Step-by-step explanation:

(a+b)³-(a-b)³ = (a³+b³+3a²b+3ab²) - (a³-b³-3a²b+3ab²)

(a+b)³-(a-b)³ = a³+b³+3a²b+3ab²- a³+b³+3a²b-3ab³

(a+b)³-(a-b)³ = b³+3a²b+b³+3a²b

(a+b)³-(a-b)³ = b³+b³+3a²b+3a²b

(a+b)³-(a-b)³ = 2b³+2(3a²b)

(a+b)³-(a-b)³ = 2 (b³+3a²b)

(a+b)³-(a-b)³ = ( 2 ) (b³+3a²b)