已知A=x^2+3y^2-5xy,B=2xy+2x^2-y^2,求: (1)3A-B (2)A-3B

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已知A=x^2+3y^2-5xy,B=2xy+2x^2-y^2,求: (1)3A-B (2)A-3B

(1)3A-B
=3(x^2+3y^2-5xy)-(2xy+2x^2-y^2)
=3x²+9y²-15xy-2xy-2x²+y²
=x²-17xy+10y²

(2)A-3B
=(x^2+3y^2-5xy)-3(2xy+2x^2-y^2)
=x²+3y²-5xy-6xy-6x²+3y²
=-5x²-11xy+6y²

(1)3A-B
= 3(x²+3y²-5xy ) -(2xy+2x²-y²)
=3x²+9y²-15xy-2xy-2x²+y²
= x²+10y²-17xy
(2)A-3B
=x²+3y²-5xy -3(2xy+2x²-y²)
=x²+3y²-5xy -6xy-6x²+3y²
= -5x²+6y²-11xy