What is expand-(2(-3x^2-5))/((-5+x^2)^3) ?

The solution to expand-(2(-3x^2-5))/((-5+x^2)^3) is -(-6x^2-10)/(-125+75x^2-15x^4+x^6)

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expand-(2(-3x^2-5))/((-5+x^2)^3)

expand

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

- \frac{- 6 x ^{2} - 10}{- 125 + 75 x ^{2} - 15 x ^{4} + x ^{6}}

Solution steps

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

(- 5 + x^{2})^{3} = - 125 + 75 x^{2} - 15 x^{4} + x^{6}

= - \frac{2 ( - 3 x ^{2} - 5 )}{( x ^{6} - 15 x ^{4} + 75 x ^{2} - 125 )}

Remove parentheses:

(- a) = - a

= - \frac{2 ( - 3 x ^{2} - 5 )}{- 125 + 75 x ^{2} - 15 x ^{4} + x ^{6}}

Expand

2 (- 3 x^{2} - 5) : - 6 x^{2} - 10

= - \frac{- 6 x ^{2} - 10}{x ^{6} - 15 x ^{4} + 75 x ^{2} - 125}

(2 - cos (θ))^{2}

15 (- \frac{1}{2 t ^{2}} + \frac{1}{2})

\frac{2 ( sin ( 2 x ) + 1 )}{3 cos ^{2} ( 2 x )}

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

(15 + x) (\frac{15 + x}{2})^{2}

What is expand-(2(-3x^2-5))/((-5+x^2)^3) ?
The solution to expand-(2(-3x^2-5))/((-5+x^2)^3) is -(-6x^2-10)/(-125+75x^2-15x^4+x^6)