What is expand (-x/(sqrt(5-x^2)))^2 ?

The solution to expand (-x/(sqrt(5-x^2)))^2 is (x^2)/(5-x^2)

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expand (-x/(sqrt(5-x^2)))^2

expand

(- \frac{x}{5 - x ^{2}})^{2}

\frac{x ^{2}}{5 - x ^{2}}

Solution steps

(- \frac{x}{5 - x ^{2}})^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

n

is even

(- \frac{x}{- x ^{2} + 5})^{2} = (\frac{x}{5 - x ^{2}})^{2}

= (\frac{x}{5 - x ^{2}})^{2}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{x ^{2}}{( 5 - x ^{2} ) ^{2}}

(5 - x^{2})^{2} : 5 - x^{2}

= \frac{x ^{2}}{5 - x ^{2}}

(e^{- s a t} + e^{s a t}) \cdot (e^{- s x t} + e^{s x t})

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

\frac{6 x ^{2} - 3 x}{( x - 2 ) ( x + 4 )}

3 (e^{2 x} + x)^{2} (e^{2 x} \cdot 2 + 1)

(x - e^{y})^{2}

What is expand (-x/(sqrt(5-x^2)))^2 ?
The solution to expand (-x/(sqrt(5-x^2)))^2 is (x^2)/(5-x^2)