If a + 1/(a + 3) = 3 Then find , (a + 3)2 + 1/((a + 3)^2)

Given = a + \(\frac{1}{a + 3}\) = 3

By adding 3 on both sides we get,

(a + 3) + \(\frac{1}{a + 3}\) = 3 + 3 = 6

(a + 3)² + \(\frac{1}{(a + 3)^2}\) = 6² - 2 = 34

 

If (x) + \(\frac{1}{x}\) = a

(x)² + \(\frac{1}{(x)^2}\) = a² - 2 = 3