化简下列各式1、x^2y(5y^2-5x^2) 2、a^2+b^2-c^2+2ab 3、x^n(a-1)^2n——————— ———————— ——————xy(10x^2-10xy) a^2-b^2+c^+2ac x^2n(a-1)^n+1 4、2(x^2-1)(x-1)^2 5、x/2=y/3=z/4,求 xy+yz+zx 的值.——————— ——————— (1-x)^3(x+1)^2 5x^2+3y^2+z^2

问题描述:

化简下列各式
1、x^2y(5y^2-5x^2) 2、a^2+b^2-c^2+2ab 3、x^n(a-1)^2n
——————— ———————— ——————
xy(10x^2-10xy) a^2-b^2+c^+2ac x^2n(a-1)^n+1
4、2(x^2-1)(x-1)^2 5、x/2=y/3=z/4,求 xy+yz+zx 的值.
——————— ———————
(1-x)^3(x+1)^2 5x^2+3y^2+z^2

解1题:
原式=-5x²y(x²-y²)/10x²y(x-y)
=-5x²y(x+y)(x-y)/10x²y(x-y) 约分,约去5x²y(x-y)
=-(x+y)/2
2题:
原式=[(a²+2ab+b²)-c²]/[(a²+2ac+c²)-b²]
=[(a+b)²-c²]/[(a+c)²-b²]
=(a+b+c)(a+b-c)/(a+b+c)(a+c-b)
=(a+b-c)/(a-b+c)
3题:
原式=x^n[(a-1)^n]²/(x^n)²(a-1)(a-1)^n 约分,约去x^n(a-1)^n
=(a-1)^n/(a-1)x^n
=(a-1)^n-1/x^n
4题:
原式=2(x+1)(x-1)³/[-(x-1)³(x+1)²] 约分,约去(x+1)(x-1)³
=-2/(x+1)
5题:设x/2=y/3=z/4=t,则x=2t,y=3t,z=4t
原式=(2t×3t+3t×4t+2t×4t)/[5×(2t)²+3×(3t)²+(4t)²]
=(6t²+12t²+8t²)/(20t²+27t²+16t²)
=26t²/63t²
=26/63

1、=(y^2-x^2) /2(x-y)=-(x+y)/2
2、[(a+b)方-c方]/[(a+c)方-b方]=(a+b-c)/(a+c-b)
3、(a-1)^n-1除以x^n
4、[2(x+1)(x-1)^3]/(1-x)^3(x+1)^2=-2/(x+1)
5、设x/2=y/3=z/4=a,则x=2a,y=3a,z=4a
原式=(2a*3a+3a*4a+4a*2a)/(5*2a*2a+3*3a*3a+4a*4a)
=26/63

1、5x²(y³-1) 2、(a+b+c)×(a+b-c) 3、[x(a-1)²]^n
10x²y(x-1) (a+c+b)×(a+c-b) [x²(a-1)]^n+1
4、2[(x-1)² -2x³ ] -(x-1)^5
5、14/3y² 55/9y²

“^”是什么意思?平方麽?那“a^2”是什么意思?

1、x^2y(5y^2-5x^2) x[5(x+y)(y-x)] x+y——————— == ——————— == ——————— xy(10x^2-10xy) 10x(x-y) -22、a^2+b^2-c^2+2ab (a+b)^2-c^2 (a+b+c)(a+b-c) a+b-c——————— == ————— == —...