求值:[(x+2y-3\2)(x-2y+3\2)+2y(2y-3)+(2\3的负二次幂)]÷(-3x)的负一次幂,其中x=-1,y=2007\2006.
人气:392 ℃ 时间:2019-11-24 17:26:31
解答
求值:[(x+2y-3/2)(x-2y+3/2)+2y(2y-3)+(2/3)⁻²]÷(-3x)⁻¹其中x=-1,y=2007/2006.
原式={[x+(2y-3/2)][x-(2y-3/2)]+2y(2y-3)+9/4}×(-3x)
={[x²-(2y-3/2)²]+2y(2y-3)+9/4}×(-3x)
=[x²-4y²+6y-9/4+4y²-6y+9/4]×(-3x)
=x²(-3x)=-3x³=-3×(-1)=3
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