What is expand 1/((x^2-2x-5)^4) ?

The solution to expand 1/((x^2-2x-5)^4) is 1/(x^8-8x^7+4x^6+88x^5-74x^4-440x^3+100x^2+1000x+625)

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expand 1/((x^2-2x-5)^4)

expand

\frac{1}{( x ^{2} - 2 x - 5 ) ^{4}}

\frac{1}{x ^{8} - 8 x ^{7} + 4 x ^{6} + 88 x ^{5} - 74 x ^{4} - 440 x ^{3} + 100 x ^{2} + 1000 x + 625}

Solution steps

\frac{1}{( x ^{2} - 2 x - 5 ) ^{4}}

(x^{2} - 2 x - 5)^{4} = x^{8} - 8 x^{7} + 4 x^{6} + 88 x^{5} - 74 x^{4} - 440 x^{3} + 100 x^{2} + 1000 x + 625

= \frac{1}{x ^{8} - 8 x ^{7} + 4 x ^{6} + 88 x ^{5} - 74 x ^{4} - 440 x ^{3} + 100 x ^{2} + 1000 x + 625}

\frac{3 x ^{2} - 5 x - 52}{( x + 2 ) ( x - 4 ) ( x + 5 )}

3 sin (2 (π + θ))

(8 y + 10 x) d x + (5 y + 7 x) d y

f (x + π)

sin (x) + e^{x} (4 x^{2} + 5 x)

What is expand 1/((x^2-2x-5)^4) ?
The solution to expand 1/((x^2-2x-5)^4) is 1/(x^8-8x^7+4x^6+88x^5-74x^4-440x^3+100x^2+1000x+625)