要10道化简再求值,10道合并同类项 急明天就要交了!

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  • (1)(x+2y)(x-2y)-(2x-y)(-2-y),其中x=8,y=-8

    (2) (1-2a)(1+2a)(1+4a平方)(1+16a四次方),其中a=-二分之一

    (3)(a^2 )b-(ab)^2+3a^2 b,其中a=1/2,b=1/3

    (4) 9x+6x^2-3(x-2/3x^2),其中x=-3

    (5) 3x^2-xy/9x^2-6xy+y^2,其中X=1/2 Y=-2/3

    (6) 3x^2y-2xy^2-xy^2+2xy^2其中x=-1,y=2 先化简,再求值

    (7) 3x-2y-5xy-(2x-3y+2xy),其中x+y=4,xy=-7

    (8) 化简求值3x²y-[2xy²-2(xy-3/2x²y)+xy]+3xy²其中x=3、y=-1/3

    1.(x+2y)(x-2y)-(2x-y)(-2-y)

    =x^2-4y^2-(-4x-2xy+2y+y^2)

    =x^2-4y^2+4x+2xy-2y-y^2

    =x^2-5y^2+4x+2xy-2y

    当x=8,y=8时

    x^2-5y^2+4x+2xy-2y=64-5*64+32+2*64-16

    =64*(1-5+2)+32-16

    =-128+16=-112

    2.(1-2a)(1+2a)(1+4a^2)(1+16a^4)

    =(1-4a^2)(1+4a^2)(1+16a^4)

    =(1-16a^4)(1+16a^4)

    =1-256a^8

    当a=1/2时

    1-256a^8=1-256*(1/2)^8=1-1=0

    (3) 原式=2(a^2)b-ab^2=ab(2a-b)=(1/6)(1-1/3)=1/9

    (4) 9X+ 6X^2 - 3(X - 2/3 X^2)

    = 9X + 6X^2 -3X + 2X^2

    = 6x + 8x^2

    因为 X=-3

    则:原式=-18 +72

    = 54

    (5) (3x²-xy)/(9x²-6xy+y²)

    =x(3x-y)/(3x-y)²

    =x/(3x-y)

    =(1/2)/(3/2+2/3)

    =1/2*6/13

    =3/13

    (6)

    =3x^2y-2xy^2-xy^2+2xy^2

    =3x^2y-xy^2

    =3*(-1)^2*2-(-1)*2^2

    =6+4

    =10

    (7) 3x-2y-5xy-(2x-3y+2xy)

    =3x-2y-5xy-2x+3y-2xy

    =x+y-7xy

    =4-7×(-7)

    =4+49

    =53

    (8) 3/2x²y=(3/2)x²y

    3x²y-[2xy²-2(xy-(3/2)x²y)+xy]+3xy²

    =3x²y-[2xy²-2xy+3x²y+xy]+3xy²

    =3x²y-2xy²+2xy-3x²y-xy+3xy²

    =xy²+xy

    =xy(y+1)

    =3*(-1/3)*(-1/3+1)

    =-2/3