If x+y=25 and x^2y^3 + y^2x^3=25, what is the value of xy?
Choices:
A) 0  B) 1  C) 2  D) 3  E) 4
x^2*y^3 + y^2*x^3=25   =&gt; x^2*y^2*(y+x)=25   =&gt; x^2*y^2*25=25 [given, x+y=25]   =&gt; (xy)^2 = 1   =&gt; xy = 1   ANSWER:1
<result>B</result>
If x+y=25 and x^2y^3 + y^2x^3=25, what is the value of xy?