先化简再求值:(x-3)(2x²-5x+4)-2x(x²-8x+1),其中x=3.求过程,求答案
先化简再求值:(x-3)(2x²-5x+4)-2x(x²-8x+1),其中x=3.求过程,求答案
(x-3)(2x²-5x+4)-2x(x²-8x+1),其中x=3
=2x^3-5x²+4x-6x²+15x-12-2x^3+16x²-2x
=5x²+17x-12
=5*3²+17*3-12
=45+51-12
=84
先化简再求值:x²(3-x)+x(x²-2x)+1,,其中x=2 答案?、、、、
x²(3-x)+x(x²-2x)+1
=x²(3-x)+x²(x-2)+1
=x²(3-x+x-2)+1
=x²*1+1
=x²+1
=2²+1
=5
先化简,再求值:2x(x²-2x+1)-x(2x²-3x-1),其中x=-1.
2x(x²-2x+1)-x(2x²-3x-1)
=(2x³-4x²+2x)-(2x³-3x²-x)
=2x³-4x²+4x-2x³+3x²+x
=-x²+5x
=-(-1)²+5×(-1)
=-1-5
=-6
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先化简,再求值:2x²(x²-x+1)-x(2x^3-10²-2x-3),其中x=-1/2
2x²(x²-x+1)-x(2x^3-10x²-2x-3),其中x=-1/2
=2x^4-2x^3+2x^2-2x^4+10x^3+2x^2+3x
=8x^3+4x^2+3x
=8*(-1/2)^3+4*(-1/2)^2+3*(-1/2)
=-1+1-3/2
=-3/2
先化简再求值(x²-xy)-3(2x²-3xy)-2[x²-(2x²-xy+y²)] 其中x=1,y=3
解:
原式
=(x^2-xy)-6x^2+9xy-2x^2+2(2x^2-xy+y^2)
=x^2-xy-6x^2+9xy-2x^2+4x^2-2xy+2y^2
=x^2-6x^2-2x^2+4x^2+9xy-2xy-xy+2y^2
=-3x^2+6xy+2y^2
=-3*1+6*1*3+2*3^2
=-3+18+18
=33
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先化简,再求值:x²(x-1)+2x(x²-2x+3),其中x=-1
x^2.(x-1)+2x(x^2-2x+3)
=x(x^2-x-2x^2+4x-6)
=x(-x^2+3x-6)
x=-1
x(-x^2+3x-6) = -1(-1-3-6)=10
先化简再求值 (X²-Y²)-3(2X²-3Y²)其中X=2,Y=-3
(2)(X²-Y²)-3(2X²-3Y²)
=X²-Y²-6X²+9Y²
=-5X²+8Y²
=-5*2²+8(-3)²
=-20+72
=52
(2) 3B²-(A²+B²)-B²
=3B²-A²-B²-B²
=B²-A²
=2²-(-3)²
=4-9
=-5
(3)-2(AB-3A²)+(5AB-A²)
=-2AB+6A²+5AB-A²
=3AB+5A²
=3*2*(-3)+5*2²
=-18+20
=2
先化简 再求值 (2x²-12x+18)/(x²-9) 其中x=2
(2x²-12x+18)/(x²-9)
=2(x-3)²/[(x-3)(x+3)]
=2(x-3)/(x+3)
带入x=2得
=2(2-3)/(2+3)
=-2/5
先化简再求值[﹙3/x﹣1﹚﹣x﹣1]÷x﹣2/X²﹣2x﹢1,其中x=﹣√2
[3/(x-1) -x-1]÷ (x-2)/(x^2-2x+1)
=[(3-x^2+1)/(x-1)]*(x-1)^2/(x-2)
=-(x+2)(x-1)
=-(x^2+x-2),
当x=-√2 时原式=√2.
先化简,再求值:3x²—[2x²y—(xy—x²)]+4x²y,其中x=—1,y=2.
化简:3x²—[2x²y—(xy—x²)]+4x²y
=3x²-(2x²y-xy+x²)+4x²y
=3x²-2x²y+xy-x²+4x²y
=2x²+2x²y+xy
将x=-1,y=2 代入代数式中,得:2x²+2x²y+xy=4