Answer
The given statement is false.
A corrected statement is:
$(x+y)^2 = x^2 + 2xy + y^2$
Work Step by Step
RECALL:
$(a+b)^2=a^2+2ab + b^2$
Use the rule above with $a=x$ and $b=y$ to obtain:
$=x^2 + 2(x)(y) + y^2
\\=x^2xy+y^2$
Thus, the given statement is false.
A corrected statement is:
$(x+y)^2 = x^2 + 2xy + y^2$
