This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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Step 1: Analyze the given expression for Question 2. The algebraic expression is xy + 5y + 2x + 10. Step 2: Answer 2.1. Observe the four terms: xy, 5y, 2x, 10. There is no common factor (other than 1) that divides all four terms. 2.1 There is no common factor for all four terms. Step 3: Answer 2.2. Consider the two groups: Group 1 is (xy + 5y) and Group 2 is (2x + 10). In Group 1, y is a common factor. In Group 2, 2 is a common factor. 2.2 Each group has a common factor. Step 4: Answer 2.3. Factor out the common value from each group. For Group 1: xy + 5y = y(x + 5) For Group 2: 2x + 10 = 2(x + 5) Combine the factored groups to write the equivalent algebraic expression. y(x + 5) + 2(x + 5) 2.3 The equivalent algebraic expression is y(x + 5) + 2(x + 5) Step 5: Answer 2.4. Identify the common factor in the two terms obtained in Step 4: y(x + 5) and 2(x + 5). The common factor is (x + 5). 2.4 The common factor in the two terms is (x + 5) Send me the next one 📸