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