What is expand (180(5-x^2))/((x^2+15)^3) ?

The solution to expand (180(5-x^2))/((x^2+15)^3) is (900-180x^2)/(x^6+45x^4+675x^2+3375)

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expand (180(5-x^2))/((x^2+15)^3)

expand

\frac{180 ( 5 - x ^{2} )}{( x ^{2} + 15 ) ^{3}}

\frac{900 - 180 x ^{2}}{x ^{6} + 45 x ^{4} + 675 x ^{2} + 3375}

Solution steps

\frac{180 ( 5 - x ^{2} )}{( x ^{2} + 15 ) ^{3}}

(x^{2} + 15)^{3} = x^{6} + 45 x^{4} + 675 x^{2} + 3375

= \frac{180 ( - x ^{2} + 5 )}{x ^{6} + 45 x ^{4} + 675 x ^{2} + 3375}

Expand

180 (5 - x^{2}) : 900 - 180 x^{2}

= \frac{900 - 180 x ^{2}}{x ^{6} + 45 x ^{4} + 675 x ^{2} + 3375}

(240 cos (w x) - 29 cos (3 w x))^{2}

\frac{9 x ^{3} - 54 x ^{2} + 12 x + 5}{( x - 2 ) ^{3}}

5 x (x - 72)

\frac{( ( s + 1 ) \cdot e ^{(- 0.5 s)} )}{( s \cdot ( s + 2 ) \cdot ( s + 3 ) )}

cos^{2} (x) - sin^{2} (x) (sin (x) - cos (x))

What is expand (180(5-x^2))/((x^2+15)^3) ?
The solution to expand (180(5-x^2))/((x^2+15)^3) is (900-180x^2)/(x^6+45x^4+675x^2+3375)