过两圆x平方 y平方-x-y-2=0和x平方+y平方+4x-4y-8=0

(x平方-y平方)/(x+y)+(x平方-2xy+y平方)/(x-y)=(x+y)(x-y)/(x+y)+(x-y)^2/(x-y)=x-y+x-y=2(x-y)

x^2+y^2+6x-4=0x^2+y^2+6y-28=06x-6y+24=0x-y+4=0y=x+4x^2+(x+4)^2+6x-4=02x^2+14x+12=0x^2+7x+6=0(x+6)(x+

C1(x-2)²+(y-1)²=10圆心(2,1),r1=√10C2(x-3)²+(y-1/2)²=37/4圆心(3,1/2),r2=√37/2圆心距d=√(1

(3x平方-4y平方)+[-(x平方-2xy-y平方)]-[(3x平方-2xy-y平方)]=3x²-4y²-x²+2xy+y²-3x²+2xy+y&#

可以使用平方差公式：m^2-n^2=(m+n)(m-n)所以(2x＋y)^2-(x+2y)^2=（2x＋y+x+2y)(2x＋y-x-2y）=(3x+3y)(x-y)=3(x+y)(x-y)

圆C1:(x-1)²+(y+5)²=50.圆C2:(x+1)²+(y+1)²=10.∴圆心C1(1,-5),C2(-1,-1),r1=5√2,r2=√10.==

(y+1)平方-2x平方(1+y平方)+x四次方(1-y)平方=(y+1)²+2*x²*(y²-1)+[x²(y-1)]²-2x²(y

x平方+y平方+2xy分之x平方-4y平方除以x平方+xy分之2y+x=(x-2y)(x+2y)/(x+y)²·x(x+y)/(x+2y)=x(x-2y)/(x+y)

设此圆的方程为：x^2+y^2+2x+3y-7+k(x^2+y^2+3x-2y-1)=0将点(1,2)代入方程,得1+4+2+6-7+k(1+4+3-4-1)=0即6+3k=0即k=-2故方程为：x^

设a=x-y,b=y-z,-a-b=z-x(y-z)平方+(x-y)平方+(z-x)平方=(y+z-2x)平方+(z+x-2y)平方+(x+y-2z)平方b^2+a^2+(-a-b)^2=(-a-b-

X^2+Y^2+X-2Y-20=0(X+1\2)^2+(Y-1)^2=20+1\4+1(X+1\2)^2+(Y-1)^2=49\4所以该圆的半径是7\2,圆心的坐标是(-1\2,1)X^2+Y^2=2

x^2-4y^2-x+2y=(x+2y)(x-2y)-(x-2y)=(x-2y)(x+2y-1)x^2-2x-b^2-2b=(x+b)(x-b)-2(x+b)=(x+b)(x-b-2)

x8＋256y8-32x4y4(用手机打的不要介意,给个最佳答案吧）

∵4x²-y²+2x-y=(2x-y)(2x+y)+(2x-y)=(2x-y)(2x+y+1)∴4x²-y²+2x-y=(2x-y)(2x+y+1)不懂得欢迎追

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

X²-XY-6Y²+2X-Y+1=(X+1)²-Y(X+1)-6Y²=(X+1-3Y)(X+1+2Y)再问：学生不才老师您第一步我就不知道怎么得到的再答：X2-

[(3x-3y)/(y平方-x平方)+(x平方-2xy+y平方)/(x平方-y平方)-(x平方-x+6)/(x+2)]/(x+y)=【-3/(x+y)+(x-y)/(x+y)-(x-3)]】/(x+y

x的平方-x-4y的平方+2y=(x-2y)(x+2y)-(x-2y)=(x-2y)(x+2y-1)

x平方-4y平方-x-2y=(x+2y)(x-2y)-(x+2y)=(x+2y)(x-2y-1)

(x平方+2xy+y的平方）/（x+y)=（x+y)²/(x+y)=x+y