问题
解答题
①(4x2y-5xy+7x)-(5x2y-5xy+6x); ②(x-2y)2+4(x-y)(x+y); ③(27x3-18x2-3x)÷(-3x); ④(a+2b-c)(a+2b+c); ⑤(-x+2y)2-(x+y)(3x-y)-5y2,其中x=-2,y=
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答案
①原式=4x2y-5xy+7x-5x2y+5xy-6x=-x2y+x;
②原式=x2-4xy+4y2-4x2+4y2=-3x2-4xy+8y2;
③原式=-9x2+6x+1;
④原式=[(a+2b)-c][(a+2b)+c]=(a+2b)2-c2=a2+4ab+4b2-c2;
⑤原式=x2-4xy+4y2-(3x2-2xy-y2)-5y2=x2-4xy+4y2-3x2+2xy+y2-5y2=-2x2-2xy,
当x=-2,y=
时,原式=-2×(-2)2-2×(-2)×1 2
=-8+2=-6.1 2