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

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

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

simplify

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

\frac{( x ^{2} + 1 ) ( x ^{4} - 1 )}{x ^{3}}

Solution steps

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

Join

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

= \frac{x ^{2} + 1}{x} (x^{2} - \frac{1}{x ^{2}})

Apply the fraction rule:

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

= \frac{( x ^{2} + 1 ) ( x ^{2} - \frac{1}{x ^{2}} )}{x}

Simplify

(x^{2} + 1) (x^{2} - \frac{1}{x ^{2}}) : \frac{( x ^{2} + 1 ) ( x ^{4} - 1 )}{x ^{2}}

= \frac{\frac{( x ^{2} + 1 ) ( x ^{4} - 1 )}{x ^{2}}}{x}

Apply the fraction rule:

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

= \frac{( x ^{2} + 1 ) ( x ^{4} - 1 )}{x ^{2} x}

Simplify

x^{2} x : x^{3}

= \frac{( x ^{2} + 1 ) ( x ^{4} - 1 )}{x ^{3}}

\frac{1}{( x ^{2} + a ^{2} ) ( x ^{2} + b ^{2} )}

(2 + π) 120

((3 t)^{2}, 3 (4 - 4 t)) \cdot (3, - 4)

G (0, - 3) yH (- 6, 0)

\frac{6 !}{6 ! ( 6 - 6 ) !}

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