Exercises 6.3, page 194

  1. 1. (x − 2)(x2 + 2x + 4)

  2. 3. (x + 1)(x2 − x + 1)

  3. 5. (y − 5)(y2 + 5y + 25)

  4. 7. (3 − t)(9 + 3t + t2)

  5. 9. (2a − 3b)(4a2 + 6ab + 9b2)

  6. 11. 4(x + 2)(x2 − 2x + 4)

  7. 13. 7n2(n − 1)(n2 + n + 1)

  8. 15. 6x3y(9 − y3)

  9. 17. x3y3(x + y)(x2 − xy + y2)

  10. 19. 3a2(a2 + 1)(a + 1)(a − 1)

  11. 21. 43 π(R − r)(R2 + Rr + r2)

  12. 23. 27L3(L + 2)(L2 − 2L + 4)

  13. 25. (a + b + 4)(a2 + 2ab + b2 − 4a − 4b + 16)

  14. 27. (2 − x)(2 + x)(16 + 4x2 + x4)

  15. 29. [ (x − 1)(x2 + x + 1)] 2

  16. 31. 4x(2 − x)(4 + 2x + x2)

  17. 33. D(D − d)(D2 + Dd + d2)

  18. 35. QH(H + Q)(H2 − HQ + Q2)

  19. 37. Expanding (a + b)(a2 − ab + b2) verifies that it equals a3 + b3 . 

  20. 39. (x + y)(x − y)(x4 + x2y2 + y4)

  21. 41. (n3 + 1) = (n + 1)(n2 − n + 1) ;  If n > 1 ,  both factors are integers and greater than 1.

..................Content has been hidden....................

You can't read the all page of ebook, please click here login for view all page.
Reset
3.15.6.77