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

The solution to expand (x+1)/((x-2)^2(x^2+2)) is (x+1)/(x^4+6x^2-4x^3-8x+8)

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

expand

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

\frac{x + 1}{x ^{4} + 6 x ^{2} - 4 x ^{3} - 8 x + 8}

Solution steps

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

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

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

Expand

(x^{2} - 4 x + 4) (x^{2} + 2) : x^{4} + 6 x^{2} - 4 x^{3} - 8 x + 8

= \frac{x + 1}{x ^{4} + 6 x ^{2} - 4 x ^{3} - 8 x + 8}

(2 x - Q x) d x

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

- 3 x - (7 x + 4 = - 4 (3 x + 1))

\frac{( 25 + 5 s ) ( 100 + 300 s )}{s}

\frac{3 x}{x}

What is expand (x+1)/((x-2)^2(x^2+2)) ?
The solution to expand (x+1)/((x-2)^2(x^2+2)) is (x+1)/(x^4+6x^2-4x^3-8x+8)