If and are positive integers such that and

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

x

and

y

are positive integers such that

xy+x+y=71

and

x^2y+xy^2=880

, then

x^2+y^2

is equal to (1) 125 (2) 137 (3) 146 (4) 152