Question

Factorise:
a³ + 1/a³ + 6a + 6/a​

Answer 1

Answer:

(a+1/a)(a²+1/a²+5)

Step-by-step explanation:

a³+1/a³+6a+6/a

a³+1/a³ = (a+1/a)(a²+1/a²-1)                            [a³+b³ = (a+b)(a²+b²-ab)]

6a+6/a = 6(a+1/a)

(a+1/a)(a²+1/a²-1) + 6(a+1/a)

(a+1/a)[a²+1/a²-1+6]

(a+1/a)[a²+1/a²+5]