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2.2 If we group the first two terms and the last two terms as follows:
(xy + Sy) + (2x + 10)
Group 1
Group 2
+5)
(1)
what do you notice about each group?
2.3 Factor these values out of each group and then write down the equivalent algebraic
expression.
(1)
2.4 What is the common factor in the two terms?
(1)
2.5 Use the distributive property to factor out this common factor and then express the
polynomial as a product of two binomials.



Answer :

GinnyAnswer
Certainly! Let's break down the steps to solve this problem: 1. **Grouping the Terms:** - Group 1: (xy + 5y) - Group 2: (2x + 10) 2. **Factoring Out:** - Group 1: y(x + 5) - Group 2: 2(x + 5) 3. **Finding the Common Factor:** - The common factor in both terms is (x + 5). 4. **Using the Distributive Property:** - Factoring out the common factor (x + 5), we get: (x + 5)(y + 2) Therefore, the equivalent algebraic expression factored as a product of two binomials is (x + 5)(y + 2).

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