Step-by-step explanation:
<h2><u>Given :-</u></h2>
x-1-(x-1)²+ax-a
<h2><u>To find :-</u></h2>
Factorize the expression ?
<h2><u>Solution :-</u></h2>
Given expression is x-1-(x-1)²+ax-a
It can be written as
(x-1)-(x-1)²+(ax-a)
=> (x-1)-(x-1)(x-1)+a(x-1)
=> (x-1)[1-(x-1)+a]
=> (x-1)(1-x+1+a)
=> (x-1)(2-x+a)
<h2><u>Answer:-</u></h2>
x-1-(x-1)²+ax-a = (x-1)(2-x+a)
Hope this helps!!