Answer:
[tex]\large\boxed{x^3+x^2+2x^2y+2xy+xy^2+y^2}[/tex]
Step-by-step explanation:
Use FOIL: (a + b)(c + d) = ac + ad + bc + bd
[tex](x^2+2xy+y^2)(x+1)\\\\=(x^2)(x)+(x^2)(1)+(2xy)(x)+(2xy)(1)+(y^2)(x)+(y^2)(1)\\\\=x^3+x^2+2x^2y+2xy+xy^2+y^2[/tex]
