Question

Express as the sum of perfect square . x² + y² + z² + xy + yz - zx . Question - (2) if x - 1/x = 3/2. then find x² - 1/x² = ? x⁴ + 1/x⁴ = ? need verified Answer not spammed.​

Answer 1

(1)By the identity (x+y+x)^2 = (x2 + y2 + z2 +2xy + 2yz + 2zx)

x² + y² + z² + xy + yz - zx = (-x - y + z)^2