Factorise:
a³ + 1/a³ + 6a + 6/a
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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]
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