Question

Simplify (a+b)^3 - (a-b)^3 ( A ) 6ab^2-2b^3 ( B ) 6ab^2+2b^3 ( C ) -6a^2b-2b^3 ( D ) 6a^2b+2b^3

Answer 1

Answer:

D) 6a²b + 2b³

Step-by-step explanation:

(a+b)³ - (a-b)³

= a³ + b³ + 3ab(a+b) - (a³ -3ab(a-b) - b³)

= a³ + b³ + 3a²b + 3ab² - a³ + 3a²b - 3ab²  + b³

= 6a²b + 2b³