What is expand (-x^2+2x-5)/((x+1)(x^2+6x+9)) ?

The solution to expand (-x^2+2x-5)/((x+1)(x^2+6x+9)) is (-x^2+2x-5)/(x^3+7x^2+15x+9)

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expand (-x^2+2x-5)/((x+1)(x^2+6x+9))

expand

\frac{- x ^{2} + 2 x - 5}{( x + 1 ) ( x ^{2} + 6 x + 9 )}

\frac{- x ^{2} + 2 x - 5}{x ^{3} + 7 x ^{2} + 15 x + 9}

Solution steps

\frac{- x ^{2} + 2 x - 5}{( x + 1 ) ( x ^{2} + 6 x + 9 )}

Expand

(x + 1) (x^{2} + 6 x + 9) : x^{3} + 7 x^{2} + 15 x + 9

= \frac{- x ^{2} + 2 x - 5}{x ^{3} + 7 x ^{2} + 15 x + 9}

\frac{10 s - 15}{( 1 + s ) ( 2 s + 1 )}

\frac{3 ( 3 ^{k} - 1 )}{2}

\frac{x - 6}{x ( x + 6 )}

\frac{( 4 x - 1 ) ^{3}}{64}

\frac{[ ( ab - c d ) \cdot e f ]}{g h}

What is expand (-x^2+2x-5)/((x+1)(x^2+6x+9)) ?
The solution to expand (-x^2+2x-5)/((x+1)(x^2+6x+9)) is (-x^2+2x-5)/(x^3+7x^2+15x+9)