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.
ScanSolve AI Answer
2.1 What do you notice about all 4 terms? The four terms xy, 5y, 2x, and 10 do not have a common factor other than 1. 2.2 If we group the first two terms and the last two terms as follows: Group 1 (xy + 5y) + Group 2 (2x + 10). What do you notice about each group? • In Group 1 (xy + 5y), y is a common factor. • In Group 2 (2x + 10), 2 is a common factor. • After factoring out the common factor from each group, the remaining binomial factor will be the same. 2.3 Factor these values out of each group and then write down the equivalent algebraic expression. Step 1: Factor out the common factor from Group 1. xy + 5y = y(x + 5) Step 2: Factor out the common factor from Group 2. 2x + 10 = 2(x + 5) Step 3: Substitute the factored groups back into the expression. y(x + 5) + 2(x + 5) Step 4: Factor out the common binomial factor (x + 5). (x + 5)(y + 2) The equivalent algebraic expression is (x + 5)(y + 2). Send me the next one 📸