Question

if(a+1/a)²=b,then a³+1/a³is equal to:​

Answer 1

Answer:

From the given info we know (a + 1/a)= √b ...(1)

Consider (a + 1/a)^3 = a^3 + 1/a^3 + 3(a + 1/a)

Hence a^3 + 1/a^3 = (a + 1/a)^3 - 3(a + 1/a) ...(2)

Putting 1 in 2, we get

a^3 + 1/a^3 = b√b -3√b

Hence your answer is √b(b-3)

Answer 2

From the given info we know (a + 1/a)= √b ...(1)

Consider (a + 1/a)^3 = a^3 + 1/a^3 + 3(a + 1/a)

Hence a^3 + 1/a^3 = (a + 1/a)^3 - 3(a + 1/a) ...(2)

Putting 1 in 2, we get

a^3 + 1/a^3 = b√b -3√b

Hence your answer is √b(b-3)

Please mark Brainliest if you found this helpful :)