Pomnóż sumy algebraiczne a następnie sprowadź do jak najprostszej postaci [x²+2x-y²+2y] * (x²+y²+2x+2y)

[latex](x^2+2x-y^2+2y)* (x^2+y^2+2x+2y)=\ \ =x^4+x^2y^2+2x^3+2x^2y +2x^3 +2xy^2+4x^2+\ \+4xy-x^2y^2-y^4-2xy^2-2y^3 +2x^2y+2y^3+4xy+4y^2 = \ \ =x^4 +4x^3+4x^2y+4x^2+8xy-y^4+4y^2[/latex]

[latex](x^{2}-y^{2}+2x+2y)*(x^{2}+y^{2}+2x+2y)=\ \ =x^{2}*x^{2}-y^{2}*x^{2}+2x*x^{2}+2y*x^{2}+\ +x^{2}*y^{2}-y^{2}*y^{2}+2x*y^{2}+2y*y^{2}+\ +x^{2}*2x-y^{2}*2x+2x*2x+2y*2x+\ +x^{2}*2y-y^{2}*2y+2x*2y+2y*2y=\ \ =x^{4}-x^{2}y^{2}+2x^{3}+2x^{2}y+\ +x^{2}y^{2}-y^{4}+2xy^{2}+2y^{3}+\ +2x^{3}-2xy^{2}+4x^{2}+4xy+\ +2x^{2}y-2y^{3}+4xy+4y^{2}=\ \ =x^{4}-y^{4}+4x^{3}+4x^{2}y+4x^{2}+8xy+4y^{2}[/latex]