Answer
$x^{2}+\frac{1}{x^{2}}+2$
Work Step by Step
$(x +\frac{1}{x})^{2}$
1. Square the first term. $(x)^{2} = x^{2}$
2. Multiply the first term and second term inside the bracket together. Then multiply this answer by 2. So $(x)(\frac{1}{x})(2)=2$
3. Square the last term inside the bracket. $(\frac{1}{x})^{2} =\frac{1}{x^{2}}$
4. Add all your answers from steps 1-3 to get $x^{2}+\frac{1}{x^{2}}+2$.
