What is expand (128(-3x^2+16))/((x^2+16)^3) ?

The solution to expand (128(-3x^2+16))/((x^2+16)^3) is (-384x^2+2048)/(x^6+48x^4+768x^2+4096)

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expand (128(-3x^2+16))/((x^2+16)^3)

expand

\frac{128 ( - 3 x ^{2} + 16 )}{( x ^{2} + 16 ) ^{3}}

\frac{- 384 x ^{2} + 2048}{x ^{6} + 48 x ^{4} + 768 x ^{2} + 4096}

Solution steps

\frac{128 ( - 3 x ^{2} + 16 )}{( x ^{2} + 16 ) ^{3}}

(x^{2} + 16)^{3} = x^{6} + 48 x^{4} + 768 x^{2} + 4096

= \frac{128 ( - 3 x ^{2} + 16 )}{x ^{6} + 48 x ^{4} + 768 x ^{2} + 4096}

Expand

128 (- 3 x^{2} + 16) : - 384 x^{2} + 2048

= \frac{- 384 x ^{2} + 2048}{x ^{6} + 48 x ^{4} + 768 x ^{2} + 4096}

(cos (π x), 4 e^{x} + 4) \cdot (- π sin (π x), e^{t})

[- 2 x,] l e f t (406 P o w er [x, 2] + 15 x + 6)

(x - \frac{9}{2})^{3}

A (8, - 9)

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

What is expand (128(-3x^2+16))/((x^2+16)^3) ?
The solution to expand (128(-3x^2+16))/((x^2+16)^3) is (-384x^2+2048)/(x^6+48x^4+768x^2+4096)