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

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

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

simplify

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

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

Solution steps

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

Join

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

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

Apply the fraction rule:

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

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

Apply exponent rule:

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

y^{2} = yy

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

Cancel the common factor:

y

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

i w (T i w + 1) (i w + 1)

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(1 + x) y^{'} (x) - 2 y

- \frac{5 π ( x + 2 ) ( x - 2 ) ( 3 x ^{2} - 20 )}{16}

(x + L \cdot cos (T H))^{2}