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

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

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

expand

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

\frac{x ^{2} + x}{x ^{2} - 3 x + 2}

Solution steps

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

Expand

(x - 1) (x - 2) : x^{2} - 3 x + 2

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

Expand

x (x + 1) : x^{2} + x

= \frac{x ^{2} + x}{x ^{2} - 3 x + 2}

\frac{10}{( 1 - 6 x ) ^{2}}

(lo g_{10} (x) - 1) (lo g_{10} (y) + 3)

\frac{18 z ^{3} + 16 z ^{2} - 21 z - 4}{( 6 z - 1 ) ( 2 z ^{3} - 1 )}

- 2 (\frac{2}{35} - s t)

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

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