What is expand (x^2-3x+16)/((x-5)(x^2+1)) ?

The solution to expand (x^2-3x+16)/((x-5)(x^2+1)) is (x^2-3x+16)/(x^3+x-5x^2-5)

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expand (x^2-3x+16)/((x-5)(x^2+1))

expand

\frac{x ^{2} - 3 x + 16}{( x - 5 ) ( x ^{2} + 1 )}

\frac{x ^{2} - 3 x + 16}{x ^{3} + x - 5 x ^{2} - 5}

Solution steps

\frac{x ^{2} - 3 x + 16}{( x - 5 ) ( x ^{2} + 1 )}

Expand

(x - 5) (x^{2} + 1) : x^{3} + x - 5 x^{2} - 5

= \frac{x ^{2} - 3 x + 16}{x ^{3} + x - 5 x ^{2} - 5}

\frac{( 8 x A + 16 x t + x A ^{2} ) ^{2}}{4 A ^{2}}

\frac{x ^{3} + y ^{3} + z ^{3}}{( x + y ) ( x + z ) ( y + z )}

(4 y + y x^{2}) d y - (2 x + x y^{2}) d x

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

What is expand (x^2-3x+16)/((x-5)(x^2+1)) ?
The solution to expand (x^2-3x+16)/((x-5)(x^2+1)) is (x^2-3x+16)/(x^3+x-5x^2-5)