What is expand (120(-x^2+4))/((x^2+x+4)^2) ?

The solution to expand (120(-x^2+4))/((x^2+x+4)^2) is (-120x^2+480)/(x^4+2x^3+9x^2+8x+16)

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expand (120(-x^2+4))/((x^2+x+4)^2)

expand

\frac{120 ( - x ^{2} + 4 )}{( x ^{2} + x + 4 ) ^{2}}

\frac{- 120 x ^{2} + 480}{x ^{4} + 2 x ^{3} + 9 x ^{2} + 8 x + 16}

Solution steps

\frac{120 ( - x ^{2} + 4 )}{( x ^{2} + x + 4 ) ^{2}}

(x^{2} + x + 4)^{2} = x^{4} + 2 x^{3} + 9 x^{2} + 8 x + 16

= \frac{120 ( - x ^{2} + 4 )}{x ^{4} + 2 x ^{3} + 9 x ^{2} + 8 x + 16}

Expand

120 (- x^{2} + 4) : - 120 x^{2} + 480

= \frac{- 120 x ^{2} + 480}{x ^{4} + 2 x ^{3} + 9 x ^{2} + 8 x + 16}

\frac{sin ( b ) - cot ( b ) ( 1 + cos ( b ) )}{1 + cos ( b )}

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

4 (\frac{1}{2} + ln (2))

(sec (θ) - tan (θ)) (sec (θ) + tan (θ))^{2}

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

What is expand (120(-x^2+4))/((x^2+x+4)^2) ?
The solution to expand (120(-x^2+4))/((x^2+x+4)^2) is (-120x^2+480)/(x^4+2x^3+9x^2+8x+16)