What is expand 6/((s-2)^4(s^2-s+4)) ?

The solution to expand 6/((s-2)^4(s^2-s+4)) is 6/(s^6-9s^5+36s^4-88s^3+144s^2-144s+64)

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expand 6/((s-2)^4(s^2-s+4))

expand

\frac{6}{( s - 2 ) ^{4} ( s ^{2} - s + 4 )}

\frac{6}{s ^{6} - 9 s ^{5} + 36 s ^{4} - 88 s ^{3} + 144 s ^{2} - 144 s + 64}

Solution steps

\frac{6}{( s - 2 ) ^{4} ( s ^{2} - s + 4 )}

(s - 2)^{4} = s^{4} - 8 s^{3} + 24 s^{2} - 32 s + 16

= \frac{6}{( s ^{4} - 8 s ^{3} + 24 s ^{2} - 32 s + 16 ) ( s ^{2} - s + 4 )}

Expand

(s^{4} - 8 s^{3} + 24 s^{2} - 32 s + 16) (s^{2} - s + 4) : s^{6} - 9 s^{5} + 36 s^{4} - 88 s^{3} + 144 s^{2} - 144 s + 64

= \frac{6}{s ^{6} - 9 s ^{5} + 36 s ^{4} - 88 s ^{3} + 144 s ^{2} - 144 s + 64}

- 2 (2 x - 9 + 1 = 17 - 4 x)

a c + ab (e + d g + 2 df)

\frac{( ( x + 1 ) )}{( 4 )}

3 x^{2} (3 e^{x} + c) + 3 e^{x} x^{3}

\frac{1}{8} c^{9}

What is expand 6/((s-2)^4(s^2-s+4)) ?
The solution to expand 6/((s-2)^4(s^2-s+4)) is 6/(s^6-9s^5+36s^4-88s^3+144s^2-144s+64)