数学题若M=(5x2-2x+3)-(3x2-3x),N=x2+x+2,早不知道x的值的情况下,你有办法比较M,N的大小吗
已知A=-3x³+2x²-1,B=x³-2x²-x+4,(1)求2A-(A-B)的值,(2)若x=-1,此代数式的值是多少? 化简(1)(-1/3a²b)-1/2ab²+(-1/4ba²)-(-2b²a) (2)3a²-【6a-(4a-3)-2a²】
人气:458 ℃ 时间:2020-01-29 05:11:40
解答
用作差法比较大小
M-N
=5x^2-2x+3-3x^2+3x-x^2-x-2
=x^2+1≥1>0
所以M>N
A=-3x³+2x²-1,B=x³-2x²-x+4
2A-(A-B)
=2(-3x^3+2x^2-1)-(-3x^3+2x^2-1-x^3+2x^2+x-4)
=-6x^3+4x^2-2-(-4x^3+4x^2+x-5)
=-6x^3+4x^2-2+4x^3-4x^2-x+5
=-2x^3-x+3
当x=-1时,原式=-2×(-1)+1+3=6
(-1/3a²b)-1/2ab²+(-1/4ba²)-(-2b²a)
=-1/3a^2b-1/2ab^2-1/4a^2b+2ab^2
=(-1/3-1/4)a^2b+(2-1/2)ab^2
=-7/12a^2b+3/2ab^2
3a²-【6a-(4a-3)-2a²】
=3a^2-(6a-4a+3-2a^2)
=3a^2-(-2a^2+2a+3)
=3a^2+2a^2-2a-3
=5a^2-2a-3
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