Question

factorise a^3-27b^3+2a^2b-6ab^2

Answer 1

a³-27b³+2a²b-6ab²

(a³-27b³)+(2a²b-6ab²)

[a³-(3b)³]+2ab(a-3b)

(a-3b)(a²+3ab+9b²)+2ab(a-3b)

(a+3b)(a²+3ab+9b²+2ab)

(a+3b)(a²+5ab+9b²)