Разложите на множетели: 1)x²+y²+2xy-(x+y)³ 2)(m+2n)³-m²+4n² 3)(x+3y)²-x³-9x²y-27xy²-27y³

[latex]x^2+y^2+2xy-(x+y)^3=(x+y)^2-(x+y)^3=[/latex] [latex](x+y)^2(1-(x+y))=(x+y)^2(1-x-y)[/latex] ============= [latex](m+2n)^3-m^2+4n^2=(m+2n)^3-(m^2-(2n)^2)=[/latex] [latex](m+2n)^3-(m-2n)(m+2n)=(m+2n)((m+2n)^2-(m-2n))=[/latex] [latex](m+2n)(m^2+4mn+4n^2-m+2n)[/latex] =================== [latex](x+3y)^2-x^3-9x^2y-27xy^2-27y^3=(x+3y)^2-(x+3y)^3=[/latex] [latex](x+3y)^2(1-(x+3y))=(x+3y)^2(1-x-3y)[/latex]