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Simplify x2y22x2+xyy2...

Simplify x2y22x2+xyy2

A.

x+y2x+y

B.

x+y2xy

C.

xy2xy

D.

xy2x+y

Correct answer is C

x2y22x2+xyy2

2x2+xyy2=2x2xy+2xyy2

= x(2xy)+y(2xy)

= (x+y)(2xy)

x2y22x2+xyy2=(x+y)(xy)(x+y)(2xy)

= xy2xy