What is expand 1/((x-4)^2(x^2+x+9)) ?

The solution to expand 1/((x-4)^2(x^2+x+9)) is 1/(x^4-7x^3+17x^2-56x+144)

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expand 1/((x-4)^2(x^2+x+9))

expand

\frac{1}{( x - 4 ) ^{2} ( x ^{2} + x + 9 )}

\frac{1}{x ^{4} - 7 x ^{3} + 17 x ^{2} - 56 x + 144}

Solution steps

\frac{1}{( x - 4 ) ^{2} ( x ^{2} + x + 9 )}

(x - 4)^{2} = x^{2} - 8 x + 16

= \frac{1}{( x ^{2} - 8 x + 16 ) ( x ^{2} + x + 9 )}

Expand

(x^{2} - 8 x + 16) (x^{2} + x + 9) : x^{4} - 7 x^{3} + 17 x^{2} - 56 x + 144

= \frac{1}{x ^{4} - 7 x ^{3} + 17 x ^{2} - 56 x + 144}

d x d (- 9 x - 6)

- 13.35 cos (\frac{π}{182} (t - 15)) + 8.85

\frac{1000 - 30 x}{( 0.02 x ^{2} + 5 ) ^{2}}

(2 (y \cdot v) + 4 y) (d y \cdot v)

\frac{3}{s ( s + 2 )}

What is expand 1/((x-4)^2(x^2+x+9)) ?
The solution to expand 1/((x-4)^2(x^2+x+9)) is 1/(x^4-7x^3+17x^2-56x+144)