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  求15道化简求值.题目和详细过程.

  求15道化简求值.题目和详细过程.

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2020-12-1023:52
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  1、已知A,B是方程x^2+2x-5=0的两个实数根,

  求(A^2+2AB+2A)(B^2+2AB+2B)的值.

  由A,B是方程x^2+2x-5=0的两个实数根得:

  AB=-5,A+B=-2

  A^2+2AB+2A)(B^2+2AB+2B)

  =AB(A+2B+2)(B+2A+2)

  =-5(-2+B+2)(-2+A+2)

  =-5AB

  =25

  2、1/2(x+y+z)方+1/2(x-y-z)(x-y+z)-z(x+y),其中x-y=6,xy=21.要详细步骤

  化简得:

  1/2(x+y+z)方+1/2(x-y-z)(x-y+z)-z(x+y)=

  1/2[(x+y)方+2z(x+y)+z方]+1/2[(x-y)方-z方]-z(x+y)=

  1/2(x+y)方+1/2(x-y)方=x方+y方

  由x-y=6,xy=21得,x方+y方=(x-y)方+2xy=78

  3、a^2-ab+2b^2=3求2ab-2a^2-4b^2-7的值

  2ab-2a^2-4b^2-7

  =2(ab-a^2-2b^2)-7

  =-2(a^2-ab+2b^2)-7

  =(-2)*3-7

  =-6-7=-13

  4、若A=2x^2+3xy-2x-3,B=-x^2+xy+2,且3A+6B的值与x无关,求y的值

  3A+6B=6x^2+9xy-6x-9-6x^2+6xy+12

  =15xy-6x+3

  =x(15y-6)+3

  5、9x+6x^2-3(x-2/3x^2).其中x=-2

  9x+6x?-3(x-2/3x?)

  =9x+6x?-3x+2x?

  =8x?+6x

  =8×(-2)?+6×(-2)

  =32-12

  =20

  6、1/4(-4x^2+2x-8)-(1/2x-1),其中x=1/2

  1/4(-4x?+2x-8)-(1/2x-1)

  =-x?+1/2x-2-1/2x+1

  =-x?-1

  =-(1/2)?-1

  =-1/4-1

  =-5/4

  7、3x'y-[2x'y-(2xyz-x'z)-4x'z]-xyz,其中x=-2,y=-3,z=1,

  :3x'y-[2x'y-(2xyz-x'z)-4x'z]-xyz

  =3x'y-2x'y+2xyz-x'z+4x'z-xyz

  =x'y-xyz+3x'z

  =4*(-3)-2*3*1+3*4*1

  =-12-6+12

  =-6

  8、(5a^2-3b^2)+(a^2+b^2)-(5a^2+3b^2),其中a=-1,b=1

  =5a^2-3b^2+a^2+b^2-5a^2-3b^2

  =a^2-5b^2

  =(-1)^2-5*1^2

  =1-5

  =-4

  9、2(a^2b+ab^2)-2(a^2b-1)-2ab^2-2其中a=-2,b=2

  =2a^2b+2ab^2-2a^2b+2-2ab^2-2

  =0

  10、(X-2分之1Y-1)(X-2分之1Y+1)-(X-2分之1Y-1)的平方

  其中X=1.7,Y=3.9(先化简再求值)

  [(X-2分之1Y)-1][(X+2分之1Y)+1]-(X-2分之1Y-1)平方

  =(X+2分之1Y)平方-1-(X-2分之1Y)平方+2(X-2分之1Y)-1

  =(X+2分之1Y)平方-(X-2分之1Y)平方+2(X-2分之1Y)-2

  =2XY+2X-Y-2

  =3.9*2.4+1.4

  =10.76

  化间求值:下面的你自己求吧```

  1、-9(x-2)-y(x-5)

  (1)化简整个式子.

  (2)当x=5时,求y的解.

  2、5(9+a)×b-5(5+b)×a

  (1)化简整个式子.

  (2)当a=5/7时,求式子的值.

  3、62g+62(g+b)-b

  (1)化简整个式子.

  (2)当g=5/7时,求b的解.

  4、3(x+y)-5(4+x)+2y

  (1)化简整个式子.

  5、(x+y)(x-y)

  (1)化简整个式子.

  6、2ab+a×a-b

  (1)化简整个式子.

  7、5.6x+4(x+y)-y

  (1)化简整个式子.

  8、6.4(x+2.9)-y+2(x-y)

  (1)化简整个式子.

  9、(2.5+x)(5.2+y)

  (1)化简整个式子.

  10、9.77x-(5-a)x+2a

  (5a^2-3b^2)+(a^2+b^2)-(5a^2+3b^2),其中a=-1,b=1

  =5a^2-3b^2+a^2+b^2-5a^2-3b^2

  =a^2-5b^2

  =(-1)^2-5*1^2

  =1-5

  =-4

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

  =2a^2b+2ab^2-2a^2b+2-2ab^2-2

  =0

  x+7-(-36+8^2)/2=[-(-8x)+7^4]/3*(8^2-6x)

  (a-7)-(-98a)+7a=[(3.2*5a)2^5]/10

  (89/2+5x)+35/6x=[3*(-9+5)+2^3]/5+7x

  [3X+(-189+5^2)/3]/8=521/2

  4y+[119*(-5^3y+8/7)-8/3]=22/11

  (3X*189)+{5*6+[-5/8*(-65*8^3)]+9/2}

  7(2x-1)-3(4x

2020-12-10 23:56:07
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