Respuesta :

[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.


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