match each binomial expression with the set of coefficient of the term obtain by expanding the expression

[tex](2x+y)^3[/tex] = [tex]8x^3+12x^2y+6xy^2+y^3[/tex]
The coefficients are 8 , 12, 6, 1
[tex](2x+3y)^4[/tex]= [tex]16x^4+96x^3y+216x^2y^2+216xy^3+81y^4[/tex]
The coefficients are 16, 96, 216, 216, 81
[tex](3x+2y)^3[/tex]=[tex]27x^3+54x^2y+36xy^2+8y^3[/tex]
The coefficients are 27, 54,36 , 8
[tex](x+y)^4[/tex] = x^4+4x^3y+6x^2y^2+4xy^3+y^4
The coefficients are 1, 4, 6, 4, 1
By expanding the term [tex](2x+y)^3[/tex], we get
[tex]8x^3 + 12x^2y+6xy^2+y^3[/tex].
Therefore, the coefficients for [tex](2x+y)^3[/tex] are 8, 12, 6, 1.
By expanding the term [tex](2x+3y)^4[/tex], we get
[tex]16x^4+96x^3y+216x^2y^2+216xy^3+81y^4[/tex].
Therefore, the coefficients for [tex](2x+3y)^4[/tex] are 16, 96, 216, 216, 81.
By expanding the term [tex](3x+2y)^3[/tex], we get
[tex]27x^3+54x^2y+36xy^2+8y^3[/tex].
Therefore, the coefficients for [tex](3x+2y)^3[/tex] are 27, 54, 36, 8.
By expanding the term [tex](x+y)^4[/tex], we get
[tex]x^4+4x^3y+6x^2y^2+4xy^3+y^4[/tex].
Therefore, the coefficients for [tex](x+y)^4[/tex] are 1, 4, 6, 4, 1.