What is expand 1/((x+4)(x^3+6x^2+6)) ?

The solution to expand 1/((x+4)(x^3+6x^2+6)) is 1/(x^4+10x^3+24x^2+6x+24)

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expand 1/((x+4)(x^3+6x^2+6))

expand

\frac{1}{( x + 4 ) ( x ^{3} + 6 x ^{2} + 6 )}

\frac{1}{x ^{4} + 10 x ^{3} + 24 x ^{2} + 6 x + 24}

Solution steps

\frac{1}{( x + 4 ) ( x ^{3} + 6 x ^{2} + 6 )}

Expand

(x + 4) (x^{3} + 6 x^{2} + 6) : x^{4} + 10 x^{3} + 24 x^{2} + 6 x + 24

= \frac{1}{x ^{4} + 10 x ^{3} + 24 x ^{2} + 6 x + 24}

- \frac{3 x ( - 2 x ^{2} + 9 )}{( x ^{2} + 3 ) ^{\frac{7}{2}}}

A (8, 3) B (1, - 4)

\frac{( 3 x ^{2} - 11 x - 62 )}{( x ^{2} - 4 ) ( x + 1 )}

\frac{- x ^{2} + 4 x - 2}{( x - 1 ) ^{4}}

What is expand 1/((x+4)(x^3+6x^2+6)) ?
The solution to expand 1/((x+4)(x^3+6x^2+6)) is 1/(x^4+10x^3+24x^2+6x+24)