What is expand ((x^2-2x-15)(x+3))/((-x^2-1)(x-2)) ?

The solution to expand ((x^2-2x-15)(x+3))/((-x^2-1)(x-2)) is (x^3+x^2-21x-45)/(-x^3+2x^2-x+2)

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expand ((x^2-2x-15)(x+3))/((-x^2-1)(x-2))

expand

\frac{( x ^{2} - 2 x - 15 ) ( x + 3 )}{( - x ^{2} - 1 ) ( x - 2 )}

\frac{x ^{3} + x ^{2} - 21 x - 45}{- x ^{3} + 2 x ^{2} - x + 2}

Solution steps

\frac{( x ^{2} - 2 x - 15 ) ( x + 3 )}{( - x ^{2} - 1 ) ( x - 2 )}

Expand

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

= \frac{( x ^{2} - 2 x - 15 ) ( x + 3 )}{- x ^{3} + 2 x ^{2} - x + 2}

Expand

(x^{2} - 2 x - 15) (x + 3) : x^{3} + x^{2} - 21 x - 45

= \frac{x ^{3} + x ^{2} - 21 x - 45}{- x ^{3} + 2 x ^{2} - x + 2}

l im x \Rightarrow - 2 (x^{2} - x - 6)

t e^{4 t} f (t - 3) H (t - 3)

e^{2 (s i n (t) + 1)}

\frac{3}{5 ( 2 x - 4 ) ^{2}}

\frac{2 s ^{2} + 19 s + 40}{( s + 3 ) ( s ^{2} + 6 s + 9 )}

What is expand ((x^2-2x-15)(x+3))/((-x^2-1)(x-2)) ?
The solution to expand ((x^2-2x-15)(x+3))/((-x^2-1)(x-2)) is (x^3+x^2-21x-45)/(-x^3+2x^2-x+2)