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

The solution to x(y-1/(x^2)) is (yx^2-1)/x

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

simplify

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

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

Solution steps

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

Join

y - \frac{1}{x ^{2}} : \frac{y x ^{2} - 1}{x ^{2}}

= x \frac{y x ^{2} - 1}{x ^{2}}

Apply the fraction rule:

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

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

x^{2} = xx

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

Cancel the common factor:

x

= \frac{y x ^{2} - 1}{x}

9 (1 - cos (t))^{2}

(\frac{1}{x ^{2}} + 2 x)^{5}

\frac{( x - 4 ) ^{2}}{x ^{2} - 9}

(15 x^{4} - 3 x^{2} + 1) cos (x)

π (- \frac{x ^{5}}{5} + \frac{26 x ^{3}}{3} - 25 x) + C