![a + \frac{1}{a} = 1 \: ho \: to \: \: {a}^{3} + 1 = ? a + \frac{1}{a} = 1 \: ho \: to \: \: {a}^{3} + 1 = ?](https://tex.z-dn.net/?f=a+%2B++%5Cfrac%7B1%7D%7Ba%7D++%3D+1++%5C%3A+ho+%5C%3A+to+%5C%3A+++%5C%3A+%7Ba%7D%5E%7B3%7D++%2B+1+%3D++%3F)
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Answer:
a³+1=0
Step-by-step explanation:
a+1/a=1
a²+1 =1
a
a²-a+1==0
using this formula
a³+b³ = (a+b)(a²-ab+b²)
let a=a and b=1
a³+1= (a+1)(a²-a+1)
a³+1=(a+1)(0)
a³+1=0
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