Final answer:
To factor the given polynomial, rearrange the terms to identify common factors. Then, factor out the common factor for the final solution. Factoring out (a - b), we have:
(a - b)(1 - a + 2ab)
Step-by-step explanation:
To factor the polynomial a - aª - b + 2ab - ba, we can rearrange the terms so that common factors can be identified. Grouping the terms, we get:
(a - b) - a(a - b) + 2ab
Now, we can observe that (a - b) is a common factor in each term. Factoring out (a - b), we have:
(a - b)(1 - a + 2ab)