x^4 + 1/x^4 - 2

asked by guest
on Mar 22, 2025 at 9:33 am



You asked:

Evaluate the expression: x4+1x42{x}^{4} + \frac{1}{{x}^{4}} - 2

MathBot Answer:

Evaluated



x4+1x42=x42+1x4\displaystyle {x}^{4} + \frac{1}{{x}^{4}} - 2 = x^{4} - 2 + \frac{1}{x^{4}}


Factored

x4+1x42=(x2+1)2(x1)2(x+1)2x4{x}^{4} + \frac{1}{{x}^{4}} - 2 = \frac{\left(x^{2} + 1\right)^{2} \left(x - 1\right)^{2} \left(x + 1\right)^{2}}{x^{4}}