What is m^2+1/(m^2)+2-2m-2/m ?

The solution to m^2+1/(m^2)+2-2m-2/m is (m^4+1-2m+2m^2-2m^3)/(m^2)

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simplify m^2+1/(m^2)+2-2m-2/m

simplify

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

\frac{m ^{4} + 1 - 2 m + 2 m ^{2} - 2 m ^{3}}{m ^{2}}

Solution steps

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

Join

\frac{1}{m ^{2}} - \frac{2}{m} : \frac{1 - 2 m}{m ^{2}}

= m^{2} + \frac{1 - 2 m}{m ^{2}} + 2 - 2 m

Convert

m^{2}

to fraction

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

Convert

2

to fraction

: \frac{2 m ^{2}}{m ^{2}}

Convert

2 m

to fraction

: \frac{2 m ^{3}}{m ^{2}}

= \frac{m ^{4}}{m ^{2}} + \frac{1 - 2 m}{m ^{2}} + \frac{2 m ^{2}}{m ^{2}} - \frac{2 m ^{3}}{m ^{2}}

Apply the fraction rule:

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

= \frac{m ^{4} + 1 - 2 m + 2 m ^{2} - 2 m ^{3}}{m ^{2}}

21 b + 63 b^{2}

(x - 3)^{3} + y^{3}

(x + 3) \cdot x^{4}

- 2 sin^{2} (x) + sin (x) + 1

x - 1 0^{0} y^{2} x + 1 0^{0} b

What is m^2+1/(m^2)+2-2m-2/m ?
The solution to m^2+1/(m^2)+2-2m-2/m is (m^4+1-2m+2m^2-2m^3)/(m^2)