Find the cubic model for the set of values listed below.
expand using the binomial theorem. show work.

1. (c+5)^3

2. (2x-3y)^4

1. c^3 + 15c^2 + 75c + 125

2. 16x^4 - 96x^3y + 216x^2y^2 - 216xy^3 + 81y^4

Step-by-step explanation:

1. the binomial expansion will be the sum of the following terms

(3 C 0)c^3*5^0

(3 C 1)c^2*5^1

(3 C 2)c^1*5^2

(3 C 3)c^0*5^3

2. the binomial expansion will be the sum of the following terms

(4 C 0)(2x)^4(-3y)^0

(4 C 1)(2x)^3(-3y)^1

(4 C 2)(2x)^2(-3y)^2

(4 C 3)(2x)^1(-3y)^3

(4 C 4)(2x)^0(-3y)^4

Step-by-step explanation:

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1. 3.4/4

2. 0.8/7

3. 0.5 x 3

4. 0.9 x 6

5. 10.8

6. 2.35

7. 0.567

8. 9.35

9. 0.02

10. 0.06

11. 0.16

12. 0.42

13. 0.63

14. 5.6

15. 8.1

16. 9.9

17. 0.28

18. 0.48

19. 0.27

20. 0.49

21. 0.45

22. 0.72

23. 0.9

24. 0.88

25. 0.75

26. 0.16

27. 0.328

28. 0.495

29. 0.72

30. 1.068

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step-by-step explanation: