问题
解答题
(1)先化简,再求值3(2x2y-xy2)-(5x2y-4xy2),其中x,y满足|x+2|+(y-
(2)已知多形式A,B,其中A=x2-2x+1,小马在计算A+B时,由于粗心把A+B看成了A-B求得结果为-3x2-2x-1,请你帮小马算出A+B的正确结果. |
答案
(1)原式=6x2y-3xy2-5x2y+4xy2=x2y+xy2,
∵|x+2|+(y-
)2=0,1 2
∴x+2=0,y-
=0,即x=-2,y=1 2
,1 2
则原式=(-2)2×
+(-2)×(1 2
)2=2-1 2
=11 2
;1 2
(2)由题意知:B=(x2-2x+1)-(-3x2-2x-1)=x2-2x+1+3x2+2x+1=4x2+2,
则A+B=(x2-2x+1)+(4x2+2)=x2-2x+1+4x2+2=5x2-2x+3.