By Novikov S.Y.

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**Additional info for A-Systems, Independent Functions, and Sets Bounded in Spaces of Measurable Functions**

**Example text**

16x -3y 521- 7x 2y -92 26. 18ab 721- 7a -5b 22 23. 1- 3a -5215a -72 27. 12x2413x23 24. 1- 6b -4212b -72 28. 14y2213y23 a -2 4. -8 b 29. 1- 2n2315n22 x -9y -17 6. z -11 31. y 35 y 31 32. x 26 x 13 33. b -7 b 12 34. a -18 a -13 35. x 2y -2 x -1y 36. x 3y -3 x -1y 2 37. 32x -4y 3 4x -5y 8 38. 20a 5b -2 5a 7b -3 Simplify. 7. 230 21. 2x 3 и 3x 2 2 0 8. a - b 5 9. z 0 и z 7 10. x 10 и x 0 11. 58 и 5-6 12. 62 и 6-7 13. m-5 и m5 14. n9 и n-9 15. y 3 и y -7 17. 1x + 3241x + 32 - 2 16. b -4 и b 12 18. 1y - 12 - 11y - 125 39.

Grouping. Each group of terms has a common factor. Factoring a common factor out of each group Factoring out the common binomial factor a Now Try Exercise 9. a Trinomials of the Type x 2 ؉ bx ؉ c Some trinomials can be factored into the product of two binomials. To factor a trinomial of the form x 2 + bx + c, we look for binomial factors of the form 1x + p21x + q2, where p и q = c and p + q = b. That is, we look for two numbers p and q whose sum is the coefﬁcient of the middle term of the polynomial, b, and whose product is the constant term, c.

7y - 1 = 23 - 5y 16. 3x - 15 = 15 - 3x 3. 3x + 4 = - 8 4. 5x - 7 = 23 17. 3x - 4 = 5 + 12x 18. 9t - 4 = 14 + 15t 5. 5y - 12 = 3 6. 6x + 23 = 5 19. 5 - 4a = a - 13 20. 6 - 7x = x - 14 7. 6x - 15 = 45 8. 4x - 7 = 81 21. 3m - 7 = - 13 + m 22. 5x - 8 = 2x - 8 9. 5x - 10 = 45 10. 6x - 7 = 11 23. 11 - 3x = 5x + 3 24. 20 - 4y = 10 - 6y Solve. 1. x - 5 = 7 11. 9t + 4 = - 5 12. 5x + 7 = - 13 25. 2 1x + 72 = 5x + 14 26. 31y + 42 = 8y 34 CHAPTER R Basic Concepts of Algebra 27. 24 = 512t + 52 28. 9 = 413y - 22 29.

### A-Systems, Independent Functions, and Sets Bounded in Spaces of Measurable Functions by Novikov S.Y.

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