Angie0699
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Match each binomial expression with the set of coefficients of the terms obtained by expanding the expression.

A) (2x+y)^3 B) (2x+3y)^4 C) (3x+2y)^3 D) (x+y)^4


A) 1, 4, 6, 41
B) 27, 54, 36, 8
C) 8, 12, 6, 1
D) 16, 96, 216, 216, 81

Respuesta :

openpresents
(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

 explanation:

(A) [tex](2x+y)^3=8 x^3 + 12 x^2 y + 6 x y^2 + y^3[/tex]

Answer option C)  8, 12, 6, 1

B) [tex](2x+3y)^4 = 16 x^4 + 96 x^3 y + 216 x^2 y^2 + 216 x y^3 + 81 y^4[/tex]

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

C) [tex](3x+2y)^3 = 27 x^3 + 54 x^2 y + 36 x y^2 + 8 y^3[/tex]

Answer option B) 27, 54, 36, 8

D)[tex](x+y)^4 = x^4 + 4 x^3 y + 6 x^2 y^2 + 4 x y^3 + y^4[/tex]

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

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