Question

21. Factorize x2 - 2xy + y2 - 2(x - y) + 1​​

Answer 1

Answer:

Using the identity:

x2+y2−2xy=(x−y)2

x2+y2−2xy−1=(x−y)2−1=(x−y−1)∗(x−y+1)

We therefore have 2 factors: (x−y−1) and (x−y+1)