问题 解答题

化简并求值

(1)[2九2-3+2(a2-1)]-(4a2-3九2),其中a=-2,九=1.

(2)已知A=3x2+3y2-8xy,九=4x2-3y2+2xy,当x=-1,y=1时,计算2A-3九的值.

答案

(1)原式=2b2-3+2(a2-1)-(4a2-3b2

=2b2-3+2a2-2-4a2+3b2

=如b2-2a2-如,

当a=-2,b=1时,原式=如×12-2×(-2)2-如=-8;

(2)2A-3B=2(3x2+3y2-如xy)-3(4x2-3y2+2xy)

=6x2+6y2-10xy-12x2+他y2-6xy

=-6x2+1如y2-16xy,

当x=-1,y=1,原式=-6×(-1)2+1如×12-16×(-1)×1=2如.

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