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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complete the steps to find the area of the trapezoid.

area of rectangle = 256   square units

area of triangle 1 = 24  square units

area of triangle 2 = 16  square units

area of triangle 3 =   96 square units

area of trapezoid = 120  square units

step-by-step explanation:

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