#### Answer

The given statement is false.
A corrected statement is:
$x^2+x^2=2x^2$

#### Work Step by Step

RECALL:
The distributive property states that for any real numbers, a, b, and c:
$ab + ac=a(b+c)$
Use the distributive property to obtain:
$x^2+x^2
\\=x^2(1+1)
\\=x^2+2
\\=2x^2$
Thus, the given statement is false.
A corrected statement is:
$x^2+x^2=2x^2$