若代数式(2x^2+ax-y+b)-(2bx^2-3x+5y-1)的值与字母x所取值无关,求代数式1/3a^2-2b^2-(1/4a^3+3b^2)的值
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參考答案:若代数式(2x^2+ax-y+b)-(2bx^2-3x+5y-1)的值与字母x所取值无关,求代数式1/3a^2-2b^2-(1/4a^3+3b^2)的值
(2x^2+ax-y+b)-(2bx^2-3x+5y-1)
=2(1-b)x^2+(a+3)x+b+1 -6y
因与X所取值无关,则:
1-b=0
a+3=0
a=-3
b=1
1/3a^2-2b^2-(1/4a^3+3b^2)
=1/3*9-2*1-[-1/4*27+3*1]
=1+27/4-3
=19/4