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Concept explainers
In Exercises 55–62, factor the given expressions by grouping as Illustrated in Example 10.
am + an + cn + cm
EXAMPLE 10 Factoring by grouping
Factor: 2x ‒ 2y + ax ‒ ay.
We see that there is no common factor to all four terms, but that each of the first two terms contains a factor of 2, and each of the third and fourth terms contains a factor of a. Grouping terms this way and then factoring each group, we have
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Chapter 6 Solutions
Student Solutions Manual For Basic Technical Mathematics And Basic Technical Mathematics With Calculus
- For Exercises 11–12, a. Rationalize the numerator of the expression and simplify. b. Substitute 0 for h in the simplified expression. Vx + h + 1 – (Vĩ + 1) 11. V2x + h) – V2x - 12. h harrow_forwardIn Exercises 101–103, perform the indicated operations. 1 1 1 101. x" – 1 x" + 1 x2" – 1 (1-X- -X ) (1 – (1 – 102. (1 - x + 1) x + 2 x + 3 103. (x – y)-1 + (x – y)-2arrow_forwardIn Exercises 11–14, use a product-to-sum formula to find the exact value. (See Example 2)arrow_forward
- In Problems 43–54, write each expression in the standard form a + bi.arrow_forwardAll changes saved 11. For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C. Part A: Expand the expression –7i(2 – 4i) using the distributive property. Part B: Show all work for Part A. Part C: Explain why the expansion in Part A did not result in the need to combine like terms.arrow_forwardNumber 332 – 1 has exactly two divisors greater than 75 and less than 85. What is their product?arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage