What is ((a-1)a)/((1-a)) ?

The solution to ((a-1)a)/((1-a)) is -a

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simplify ((a-1)a)/((1-a))

simplify

\frac{( a - 1 ) a}{( 1 - a )}

- a

Solution steps

\frac{( a - 1 ) a}{1 - a}

1 - a = - (a - 1)

= \frac{( a - 1 ) a}{- ( a - 1 )}

Cancel the common factor:

a - 1

= \frac{a}{- 1}

Apply the fraction rule:

\frac{a}{- 1} = - a

= - a

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