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

The solution to expand (x(x^2-2))/(y^2) is (x^3)/(y^2)-(2x)/(y^2)

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expand (x(x^2-2))/(y^2)

expand

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

\frac{x ^{3}}{y ^{2}} - \frac{2 x}{y ^{2}}

Solution steps

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

Expand

x (x^{2} - 2) : x^{3} - 2 x

= \frac{x ^{3} - 2 x}{y ^{2}}

Apply the fraction rule:

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

\frac{x ^{3} - 2 x}{y ^{2}} = \frac{x ^{3}}{y ^{2}} - \frac{2 x}{y ^{2}}

= \frac{x ^{3}}{y ^{2}} - \frac{2 x}{y ^{2}}

\frac{y ( x - π )}{x ( 1 - p ^{2} )}

\frac{( 6 + b ) ^{2}}{2 t - 6}

so l v e (lo g_{10} (N) = 0.3 + 2 t, N)

\frac{3 s}{8 ( s + 1 )}

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

What is expand (x(x^2-2))/(y^2) ?
The solution to expand (x(x^2-2))/(y^2) is (x^3)/(y^2)-(2x)/(y^2)