What is expand (5x^2-9x+19)/((x-4)(x^2+5)) ?

The solution to expand (5x^2-9x+19)/((x-4)(x^2+5)) is (5x^2-9x+19)/(x^3+5x-4x^2-20)

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expand (5x^2-9x+19)/((x-4)(x^2+5))

expand

\frac{5 x ^{2} - 9 x + 19}{( x - 4 ) ( x ^{2} + 5 )}

\frac{5 x ^{2} - 9 x + 19}{x ^{3} + 5 x - 4 x ^{2} - 20}

Solution steps

\frac{5 x ^{2} - 9 x + 19}{( x - 4 ) ( x ^{2} + 5 )}

Expand

(x - 4) (x^{2} + 5) : x^{3} + 5 x - 4 x^{2} - 20

= \frac{5 x ^{2} - 9 x + 19}{x ^{3} + 5 x - 4 x ^{2} - 20}

(b c + d e)^{6}

(1 - x) y^{''} (x) + x y^{'} (x) - y

(f^{'} (t) sin (t) + f (t) cos (t))^{2}

(sin (\frac{x}{2}) + cos (\frac{x}{2}))^{2} - sin (x)

(x + 3 - 23) (x + 3 + 23)

What is expand (5x^2-9x+19)/((x-4)(x^2+5)) ?
The solution to expand (5x^2-9x+19)/((x-4)(x^2+5)) is (5x^2-9x+19)/(x^3+5x-4x^2-20)