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

The solution to expand (x-2)/(x(x^2-4x+5)^2) is (x-2)/(x^5-8x^4+26x^3-40x^2+25x)

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

expand

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

\frac{x - 2}{x ^{5} - 8 x ^{4} + 26 x ^{3} - 40 x ^{2} + 25 x}

Solution steps

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

(x^{2} - 4 x + 5)^{2} = x^{4} - 8 x^{3} + 26 x^{2} - 40 x + 25

= \frac{x - 2}{x ( x ^{4} - 8 x ^{3} + 26 x ^{2} - 40 x + 25 )}

Expand

x (x^{4} - 8 x^{3} + 26 x^{2} - 40 x + 25) : x^{5} - 8 x^{4} + 26 x^{3} - 40 x^{2} + 25 x

= \frac{x - 2}{x ^{5} - 8 x ^{4} + 26 x ^{3} - 40 x ^{2} + 25 x}

(t cos (t) + sin (t))^{2}

(3 x - 2 + 4) (3 x - 2 - 4)

\frac{4 x - 8}{( x - 4 ) ( x + 1 )}

\frac{x ^{2} - 6 x + 8}{( 2 x - 3 ) ^{2}}

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

What is expand (x-2)/(x(x^2-4x+5)^2) ?
The solution to expand (x-2)/(x(x^2-4x+5)^2) is (x-2)/(x^5-8x^4+26x^3-40x^2+25x)