What is expand (61x+204)/((x+4)^2(x-4)) ?

The solution to expand (61x+204)/((x+4)^2(x-4)) is (61x+204)/(x^3+4x^2-16x-64)

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expand (61x+204)/((x+4)^2(x-4))

expand

\frac{61 x + 204}{( x + 4 ) ^{2} ( x - 4 )}

\frac{61 x + 204}{x ^{3} + 4 x ^{2} - 16 x - 64}

Solution steps

\frac{61 x + 204}{( x + 4 ) ^{2} ( x - 4 )}

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

= \frac{61 x + 204}{( x ^{2} + 8 x + 16 ) ( x - 4 )}

Expand

(x^{2} + 8 x + 16) (x - 4) : x^{3} + 4 x^{2} - 16 x - 64

= \frac{61 x + 204}{x ^{3} + 4 x ^{2} - 16 x - 64}

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

\frac{( 2 x + 3 ) ^{3}}{( 4 x ^{2} - 1 ) ^{8}}

\frac{100}{( s + 2 ) ( s + 3 ) ( s + 5 )}

(y - (- 4)) \cdot y^{2} (y = - 1)

sin (2 θ + θ)

What is expand (61x+204)/((x+4)^2(x-4)) ?
The solution to expand (61x+204)/((x+4)^2(x-4)) is (61x+204)/(x^3+4x^2-16x-64)