A+B+C=0得C=-A-B
(1)
A-B-C=A-B-(-A-B)=A-B+A+B=2A
=2(2x²-3xy+2y²)
=4x²-6xy+4y²
(2)
2A-3C=2A-3(-A-B)=2A+3A+3B=5A+3B
=5(2x²-3xy+2y²)+3(2x²+xy-3y²)
=10x²-15xy+10y²+6x²+3xy-9y²
=16x²-12xy+y²
(3)A-(B-2A)=A-B+2A=3A-B
=3(2x²-3xy+2y²)-(2x²+xy-3y²)
=6x²-9xy+6y²-2x²-xy+3y²
=4x²-10xy+9y²