What is ((x^2-2x))/((-3x^2+9x-6)) ?

The solution to ((x^2-2x))/((-3x^2+9x-6)) is -x/(3(x-1))

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simplify ((x^2-2x))/((-3x^2+9x-6))

simplify

\frac{( x ^{2} - 2 x )}{( - 3 x ^{2} + 9 x - 6 )}

- \frac{x}{3 ( x - 1 )}

Solution steps

\frac{x ^{2} - 2 x}{- 3 x ^{2} + 9 x - 6}

Factor

x^{2} - 2 x : x (x - 2)

= \frac{x ( x - 2 )}{- 3 x ^{2} + 9 x - 6}

Factor

- 3 x^{2} + 9 x - 6 : - 3 (x - 1) (x - 2)

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

Cancel the common factor:

x - 2

= \frac{x}{- 3 ( x - 1 )}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{x}{3 ( x - 1 )}

\frac{10}{50}

16 - 2 (4 + 3 x)

(- 2 x + 4) - (- x - 5)

2 \times 32

x^{9} + 8 x^{3}

What is ((x^2-2x))/((-3x^2+9x-6)) ?
The solution to ((x^2-2x))/((-3x^2+9x-6)) is -x/(3(x-1))