What is ((a-1)^2)/(1-a) ?

The solution to ((a-1)^2)/(1-a) is -a+1

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simplify ((a-1)^2)/(1-a)

simplify

\frac{( a - 1 ) ^{2}}{1 - a}

- a + 1

Solution steps

\frac{( a - 1 ) ^{2}}{1 - a}

1 - a = - (a - 1)

= \frac{( a - 1 ) ^{2}}{- ( a - 1 )}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(a - 1)^{2} = (a - 1) (a - 1)

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

Cancel the common factor:

a - 1

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

Apply the fraction rule:

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

= - (a - 1)

Simplify

- (a - 1) : - a + 1

= - a + 1

sin (x) csc (x) + cos (x) sec (x)

12 m^{5} n^{2} - 6 m^{2} n^{3} + 3 mn

8 + 32

4 m^{4} - 25 n^{2}

\frac{25}{9} a^{4} - 36 b^{2}