What is expand (29000(-x^2+90))/((x^2+90)^2) ?

The solution to expand (29000(-x^2+90))/((x^2+90)^2) is (-29000x^2+2610000)/(x^4+180x^2+8100)

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expand (29000(-x^2+90))/((x^2+90)^2)

expand

\frac{29000 ( - x ^{2} + 90 )}{( x ^{2} + 90 ) ^{2}}

\frac{- 29000 x ^{2} + 2610000}{x ^{4} + 180 x ^{2} + 8100}

Solution steps

\frac{29000 ( - x ^{2} + 90 )}{( x ^{2} + 90 ) ^{2}}

(x^{2} + 90)^{2} = x^{4} + 180 x^{2} + 8100

= \frac{29000 ( - x ^{2} + 90 )}{x ^{4} + 180 x ^{2} + 8100}

Expand

29000 (- x^{2} + 90) : - 29000 x^{2} + 2610000

= \frac{- 29000 x ^{2} + 2610000}{x ^{4} + 180 x ^{2} + 8100}

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

\frac{( x - 12 ) ( x ^{2} - x + 6 )}{( x ^{2} + x - 12 ) ( x - 8 )}

- 300 (10000 X + 400000 Y = 5000000)

\frac{6 x ^{2} + 8 x - 24}{2 x}

(24 sin (x) + 6 sin (2 x))^{2}

What is expand (29000(-x^2+90))/((x^2+90)^2) ?
The solution to expand (29000(-x^2+90))/((x^2+90)^2) is (-29000x^2+2610000)/(x^4+180x^2+8100)