[tex]2x {}^{2} y - 3xy {}^{2} + 2x {}^{2}y - 4x {}^{2} y + 2xy {}^{2} [/tex]

Hello friend !

Your answer :)

=> 2x²y - 3xy² + 2x²y - 4x²y + 2xy²

=> 2x²y + 2x²y - 4x²y - 3xy² + 2xy²

=> ( 2 + 2 - 4 ) x²y - 3xy² + 2xy²

=> 0x²y - 3xy² + 2xy²

=> 0 - xy²

=> -xy²

Therefore , the required answer is ( -xy² )

:-) Hope it helps !