What is expand (6x^2-11x-32)/((x+6)(x+1)^2) ?

The solution to expand (6x^2-11x-32)/((x+6)(x+1)^2) is (6x^2-11x-32)/(x^3+8x^2+13x+6)

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expand (6x^2-11x-32)/((x+6)(x+1)^2)

expand

\frac{6 x ^{2} - 11 x - 32}{( x + 6 ) ( x + 1 ) ^{2}}

\frac{6 x ^{2} - 11 x - 32}{x ^{3} + 8 x ^{2} + 13 x + 6}

Solution steps

\frac{6 x ^{2} - 11 x - 32}{( x + 6 ) ( x + 1 ) ^{2}}

(x + 1)^{2} = x^{2} + 2 x + 1

= \frac{6 x ^{2} - 11 x - 32}{( x + 6 ) ( x ^{2} + 2 x + 1 )}

Expand

(x + 6) (x^{2} + 2 x + 1) : x^{3} + 8 x^{2} + 13 x + 6

= \frac{6 x ^{2} - 11 x - 32}{x ^{3} + 8 x ^{2} + 13 x + 6}

\frac{1}{lo g _{10} ( x ) ( 2 + lo g _{10} ( x ) )}

\frac{x - 6}{x ^{2} ( x + 3 )}

\frac{( n + 1 ) ^{4}}{3 n ^{4}}

\frac{d ^{2}}{d x ^{2}} ((y) (\frac{4 x ^{5}}{5} - 7 x))

4 \cdot (t - 1) \cdot e^{- 0.5 \cdot t} + 8

What is expand (6x^2-11x-32)/((x+6)(x+1)^2) ?
The solution to expand (6x^2-11x-32)/((x+6)(x+1)^2) is (6x^2-11x-32)/(x^3+8x^2+13x+6)