1. (x − 2)(x2 + 2x + 4)
3. (x + 1)(x2 − x + 1)
5. (y − 5)(y2 + 5y + 25)
7. (3 − t)(9 + 3t + t2)
9. (2a − 3b)(4a2 + 6ab + 9b2)
11. 4(x + 2)(x2 − 2x + 4)
13. 7n2(n − 1)(n2 + n + 1)
15. 6x3y(9 − y3)
17. x3y3(x + y)(x2 − xy + y2)
19. 3a2(a2 + 1)(a + 1)(a − 1)
21. 43 π(R − r)(R2 + Rr + r2)
23. 27L3(L + 2)(L2 − 2L + 4)
25. (a + b + 4)(a2 + 2ab + b2 − 4a − 4b + 16)
27. (2 − x)(2 + x)(16 + 4x2 + x4)
29. [ (x − 1)(x2 + x + 1)] 2
31. 4x(2 − x)(4 + 2x + x2)
33. D(D − d)(D2 + Dd + d2)
35. QH(H + Q)(H2 − HQ + Q2)
37. Expanding (a + b)(a2 − ab + b2) verifies that it equals a3 + b3 .
39. (x + y)(x − y)(x4 + x2y2 + y4)
41. (n3 + 1) = (n + 1)(n2 − n + 1) ; If n > 1 , both factors are integers and greater than 1.
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