What is x^2+2+1/(x^2) ?

The solution to x^2+2+1/(x^2) is (x^4+2x^2+1)/(x^2)

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simplify x^2+2+1/(x^2)

simplify

x^{2} + 2 + \frac{1}{x ^{2}}

\frac{x ^{4} + 2 x ^{2} + 1}{x ^{2}}

Solution steps

x^{2} + 2 + \frac{1}{x ^{2}}

Convert

x^{2}

to fraction

: \frac{x ^{4}}{x ^{2}}

Convert

2

to fraction

: \frac{2 x ^{2}}{x ^{2}}

= \frac{x ^{4}}{x ^{2}} + \frac{2 x ^{2}}{x ^{2}} + \frac{1}{x ^{2}}

Apply the fraction rule:

\frac{a}{c} + \frac{b}{c} = \frac{a + b}{c}

= \frac{x ^{4} + 2 x ^{2} + 1}{x ^{2}}

\frac{3}{45}

\frac{5 ^{13} \cdot 5 ^{17}}{5 ^{11} \cdot 5 ^{16} \cdot 5}

\frac{12}{( - 4 )}

40 m^{5}

\frac{3}{5} - \frac{2}{4}