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

Step-by-step explanation:

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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