(3X+2Y)+(4X+3Y)其中X=5,Y+3 解:原式=3X+2Y+4X+3Y=7X+5Y 当X=5,Y=3时原式=5*7+(-3)*5+20 2.(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 3.2(a^2b+ab^2)-2(a^2 b-1)-2ab^2 -2其中a=-2,b=2 =2a^2b+2ab^2-2a^2b+2-2ab^2-2 =0 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的值解: 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^2 b-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 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的值解: 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+6x2 -3(x-2/3x2) =9x+6x2-3x+2x2 =8x2+6x =8×(-2)2+6×(-2) =32-12 =20 6、1/4(-4x^2+2x-8)-(1/2x-1),其中x=1/2 1/4(-4x2+2x-8)-(1/2x-1) =-x2+1/2x-2-1/2x+1 =-x2-1 =-(1/2)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^2 b-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 11.(3X+2Y)+(4X+3Y)其中X=5,Y+3 解:原式=3X+2Y+4X+3Y=7X+5Y 当X=5,Y=3时原式=5*7+(-3)*5+20 12.(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 13.2(a^2b+ab^2)-2(a^2 b-1)-2ab^2 -2其中a=-2,b=2 =2a^2b+2ab^2-2a^2b+2-2ab^2-2 =0 14.2a-(3a-2b+2)+(3a-4b-1) =( ),a=b=1 =2a-3a+2b-2+3a-4b-1 =(2-3+3)a+(2-4)b+(-2-1) =2a-2b-3=-3 15.5-(1-x)-1-(x-1),x=11 =5-1+x-1-x+1 =4 ③2x-(x+3y)-(-x-y)-(x-y)=( ) =2x-x+3y+x+y-x+y =x+5y a=2,b=4 求2(a-b-54)+3(a+b) =5a+b-108 =5*2+4-108 =-94 a=b=1 求a+b-2(a-b+1) =-a+3b-2 =-1+3-2 =0 26.-(2x2-y2)-[2y2-(x2+2xy)]=______. 27.若-3a3b2与5ax-1by+2是同类项,则x=______,y=______. 28.(-y+6+3y4-y3)-(2y2-3y3+y4-7)=______. 29.化简代数式4x2-[7x2-5x-3(1-2x+x2)]的结果是______. 30.2a-b2+c-d3=2a+( )-d3=2a-d3-( )=c-( ). 31.3a-(2a-3b)+3(a-2b)-b=______. 32.化简代数式x-[y-2x-(x+y)]等于______. 33.[5a2+( )a-7]+[( )a2-4a+( )]=a2+2a+1. 34.3x-[y-(2x+y)]=______. 35.化简|1-x+y|-|x-y|(其中x<0,y>0)等于______. 36.已知x≤y,x+y-|x-y|=______. 37.已知x<0,y<0,化简|x+y|-|5-x-y|=______. 38.4a2n-an-(3an-2a2n)=______. 39.若一个多项式加上-3x2y+2x2-3xy-4得 2x2y+3xy2-x2+2xy, 则这个多项式为______. 40.-5xm-xm-(-7xm)+(-3xm)=______. 41.当a=-1,b=-2时, [a-(b-c)]-[-b-(-c-a)]=______. 43.当a=-1,b=1,c=-1时, -[b-2(-5a)]-(-3b+5c)=______. 44.-2(3x+z)-(-6x)+(-5y+3z)=______. 45.-5an-an+1-(-7an+1)+(-3an)=______. 46.3a-(2a-4b-6c)+3(-2c+2b)=______. 48.9a2+[7a2-2a-(-a2+3a)]=______. 50.当2y-x=5时,5(x-2y)2-3(-x+2y)-100=______.