simplify 1/x+x^2-2

Solution

simplify

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

\frac{1 + x ^{3} - 2 x}{x}

Solution steps

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

Convert

x^{2}

to fraction

: \frac{x ^{3}}{x}

Convert

2

to fraction

: \frac{2 x}{x}

= \frac{1}{x} + \frac{x ^{3}}{x} - \frac{2 x}{x}

Apply the fraction rule:

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

= \frac{1 + x ^{3} - 2 x}{x}

\frac{s}{s ^{2} - k ^{2}}

\frac{d}{d x} ((x^{2} - 8 x + 8) e^{\frac{9 x}{8}})

(1 - x)^{- 1}

y = (x^{2} + 6 x + 2)^{3}