2.2 If we group the first two terms and the last two terms as follows:
(xy +5y) + (2x + 10)
Group 1
Group 2
what do you notice about each group?
(1)



Answer :

When we group the terms as follows: Group 1: (xy + 5y) Group 2: (2x + 10) In Group 1, we notice that both terms have a common factor of 'y' which can be factored out. After factoring out 'y', we get: Group 1: y(x + 5) In Group 2, there is no common factor between the terms '2x' and '10'. Therefore, we cannot factor out any common factor from Group 2. So, the noticeable difference between the two groups is that in Group 1, we were able to factor out a 'y', but in Group 2, we couldn't factor out any common factor. This difference arises from the nature of the terms in each group and their compatibility for factoring.