Answer:
(a - b)(a² + ab + b²)
Explanation:
The difference of cubes is expressed as:
a³-b³
Using trial and error:
a³-b³
Check (a - b)(a² + ab + b²)
Expand
(a - b)(a² + ab + b²)
= a(a²)+a(ab)+a(b²)-a²b-ab²-b³
= a³+a²b+a(b²)-a²b-ab²-b³
Collect the like terms
= a³+a²b-a²b+ab²-ab²-b³
= a³-b³
Hence the required option is