Question

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

Answer 1

 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

Answer 2

(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