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denis23 [38]
3 years ago
8

Match each binomial expression with the set of coefficients of the terms obtained by expanding the expression.

Mathematics
2 answers:
user100 [1]3 years ago
8 0

 explanation:

(A) (2x+y)^3=8 x^3 + 12 x^2 y + 6 x y^2 + y^3

Answer option C)  8, 12, 6, 1

B) (2x+3y)^4 = 16 x^4 + 96 x^3 y + 216 x^2 y^2 + 216 x y^3 + 81 y^4

Answer option D) 16, 96, 216, 216, 81

C) (3x+2y)^3 = 27 x^3 + 54 x^2 y + 36 x y^2 + 8 y^3

Answer option B) 27, 54, 36, 8

D)(x+y)^4 = x^4 + 4 x^3 y + 6 x^2 y^2 + 4 x y^3 + y^4

Answer option A) 1, 4, 6, 4, 1

andreev551 [17]3 years ago
3 0
(A) (2x+y)^3 = (C) 8, 12, 6, 1
(B) (2x+3y)^4 = (D) 16, 19, 216, 216, 81
(C) (3x+2y)^3 = (B) 27, 54, 36, 8
(D) (x+y)^4 = (A) 1, 4, 6, 41
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The recommended dimensions for the garden is as follows:

Length 1 = Length 2 = 20 feet

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depth 1 = 1.5 feet

depth 2 = 3 feet

<u>Given data</u>

The garden should be at least 200 square feet for the for the plants

The volume should be less than 500 cubic feet

<h3>How to get the are at least 200 cubic feet</h3>

The area of the garden available should be the top of both levels

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therefore area of the two levels will be

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volume of the platform

The platform has two levels representing two depths say  3 for the higher level and 2 for the lesser level.

Using the same division used for area and adding them together we find the volume as follows:

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