If `p - frac(1)(p) = m` then let's show that
`p^2 + frac(1)(p^2) = m^2 + 2`

If p - frac(1)(p) = m then let's show that (p + frac(1)(p))^2 = m^2 + 4

If x + frac(1)(x) = 4 then let's show that x^2 + frac(1)(x^2) = 14 and x^4 + frac(1)(x^4) = 194

Using formula, let's solve each of the following problems- If m + frac(1)(m) = -p , Let's show that m^2 + frac(1)(m^2) = p^2 - 2

Using formula, let's solve each of the following problems- If m-frac(1)(m) = p - 2 , then lets show m^2 + frac(1)(m^2) = p^2 - 4p + 6

Using formula, let's solve each of the following problems- If 5x + frac(1)(x) = 6 , Let's show 25x^2 + frac(1)(x^2) = 26

Using formula, let's solve each of the following problems- If (m-2)-frac(1)(m-2) = 6 , then, find the value of (m-2)^2 + frac(1)((m-2)^2)

Using formula let's show that. (2p-q)^2 = (2p+q)^2 - 8pq

Using formula let's show that. (2a + frac(1)(a))^2 = (2a - frac(1)(a))^2 + 8

Using formula, let's solve each of the following problems- If frac(x)(y) + frac(y)(x) = 3 , Let's find the value of frac(x^2)(y^2) + frac(y^2)(x^2)

Let's resolve into factors:- a^2 + 1 - frac(6)(a^2)