A=3x^2-4xy+2y^2,B=x^2+2xy-5y^2且2A-B+C=0,当x=-2,y=-1时,求C的值

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A=3x^2-4xy+2y^2,B=x^2+2xy-5y^2且2A-B+C=0,当x=-2,y=-1时,求C的值

A=3x^2-4xy+2y^2,B=x^2+2xy-5y^2且2A-B+C=0,当x=-2,y=-1时,求C的值
A=3x^2-4xy+2y^2,B=x^2+2xy-5y^2且2A-B+C=0,当x=-2,y=-1时,求C的值

A=3x^2-4xy+2y^2,B=x^2+2xy-5y^2且2A-B+C=0,当x=-2,y=-1时,求C的值
∵2A-B+C=0
∴C=B-2A
=(x²+2xy-5y²)-2(3x²-4xy+2y²)
=x²+2xy-5y²-6x²+8xy-4y²
=-5x²+10xy-10y²
=-5×(-2)²+10×(-2)×(-1)-10×(-1)²
=-20+20-10
=-10

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