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=-2A^2+2AB+2A)(B^2+2AB+2B)=AB（A+2B+2）（B+2A+2）=-5（-2+B+2）（-2+A+2）=-5AB=252、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＝783、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=-134、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)+35、9x+6x^2

-3(x-2/3x^2).其中x=-29x+6x²

-3(x-2/3x²)=9x+6x²-3x+2x²=8x²+6x=8×(-2)²+6×(-2)=32-12=206、1/4(-4x^2+2x-8)-(1/2x-1),其中x=1/21/4(-4x²+2x-8)-(1/2x-1)=-x²+1/2x-2-1/2x+1=-x²-1=-(1/2)²-1=-1/4-1=-5/47、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=-68、(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=-49、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=010、(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=10.7611.（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+2024.(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=-413.2(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=014.2a-（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=-315.5-(1-x)-1-(x-1）,x=11=5-1+x-1-x+1=4③2x-(x+3y)-(-x-y)-(x-y)=（

）=2x-x+3y+x+y-x+y=x+5ya=2,b=4求2(a-b-54)+3(a+b)=5a+b-108=5*2+4-108=-94a=b=1求a+b-2(a-b+1)=-a+3b-2=-1+3-2=0就这样的题目随意出。顺便送你个公式，自创：a=x,b=y求u(a+b-p)+v(a-b+q)=(u+v)x+(u-v)y+vq-au