Section 1.6 Properties of Real Numbers and Simplifying Expressions 105 Clearing Parentheses and Combining Like Terms Example 11 Simplify by clearing parentheses and combining like terms. a. b. 14s 6t2 13t 5s2 2s c. Solution: a. Apply the distributive property. Notice that a factor of is distributed through the second parentheses and changes the signs. Arrange like terms together. Combine like terms. b. Simplify fractions. Arrange like terms together. Combine like terms. c. Notice that a factor of 1 is distributed through each parentheses. Apply the distributive property. Arrange like terms together. 1015y 22 61y 12 50y 6y 20 6 44y 26 1 414k 22 4 4 k k 1 2 2 4 1 216k 12 6 2 k 3k k 3k 2k 0 2k 1 2 1 2 1 2 1 2 14s 6t2 13t 5s2 2s 114s 6t2 113t 5s2 2s 4s 6t 3t 5s 2s 4s 5s 2s 6t 3t 11s 3t Combine like terms. 6 50y 20 6y 6 1 4 14k 22 1 21015y 22 61y 12 16k 12 Apply the distributive property. Notice that a factor of 12 is distributed through the second parentheses and changes the signs. Skill Practice Clear the parentheses and combine like terms. 25. 512y 32 213y 12 1 26. 2 18x 42 1 3 13x 92 27. 41x2y212xy25x Classroom Examples: p. 109, Exercises 108 and 116 Answers 25. 26. 27. 11x 7y 4y 13 5x 1
miller_introductory_algebra_3e_ch1_3
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