Question

Cuanto es (X+3y) elevado a la 4

Answer 1

Respuesta:

$x^{4} +12x^{3} y+54x^{2} y^{2}+108xy^{3}+81yx^{4}$

Explicación paso a paso:

$(x+3y)^{4}$

$(x^{2} +2x*3y+(3y)^{2})(x^{2} +2x*3y+(3y)^{2})$

$(x^{2} +2x*3y+3^{2}y^{2})(x^{2} +2x*3y+3^{2}y^{2})$

$(x^{2} +2x*3y+9y^{2} )(x^{2} +2x*3y+9y^{2})$

$(x^{2}+6xy+9y^{2})(x^{2}+6xy+9y^{2})$

$x^{2}(x^{2} +6xy+9y^{2} )+6xy(x^{2} +6xy+9y^{2} )+9y^{2}(x^{2} +6xy+9y^{2} )$

$x^{4} +6x^{3} y+9x^{2} y^{2} +6x^{3}y+36x^{2} y^{2} +54xy^{3} +9y^{2} x^{2} +54xy^{3}+9y^{2}(x^{2} +6xy+9y^{2})$

$x^{4} +12x^{3} y+54x^{2} y^{2}+108xy^{3}+81yx^{4}$

P.D: Apoya el esfuerzo :D