Bài 3: Rút gọn phân thức
Các câu hỏi tương tự
a, x^2 +2xy^2+y^3/ 2x^2 +xy -y^2=xy+x^2/2x-y
b, x^2 + 3xy +2y^2 /x^3 +2x^2y-xy^2 -2y^3= 1/2x-7
Chứng minh các đẳng thức sau :
a) \(\dfrac{x^2y+2xy^2+y^3}{2x^2+xy-y^2}=\dfrac{xy+y^2}{2x-y}\)
b) \(\dfrac{x^2+3xy+2y^2}{x^3+2x^2y-xy^2-2y^3}=\dfrac{1}{x-y}\)
Rút gọn các phân thức :
a) dfrac{14xy^5left(2x-3yright)}{21x^2yleft(2x-3yright)^2}
b) dfrac{8xyleft(3x-1right)^3}{12x^3left(1-3xright)}
c) dfrac{20x^2-45}{left(2x+3right)^2}
d) dfrac{5x^2-10xy}{2left(2y-xright)^3}
e) dfrac{32x-8x^2+2x^3}{x^3+64}
f) dfrac{9-left(x+5right)^2}{x^2+4x+4}
g) dfrac{80x^3-125x}{3left(x-3right)-left(x-3right)left(8-4xright)}
h) dfrac{5x^3+5x}{x^4-1}
i) dfrac{x^2+5x+6}{x^2+4x+4}
Đọc tiếp
Rút gọn các phân thức :
a) \(\dfrac{14xy^5\left(2x-3y\right)}{21x^2y\left(2x-3y\right)^2}\)
b) \(\dfrac{8xy\left(3x-1\right)^3}{12x^3\left(1-3x\right)}\)
c) \(\dfrac{20x^2-45}{\left(2x+3\right)^2}\)
d) \(\dfrac{5x^2-10xy}{2\left(2y-x\right)^3}\)
e) \(\dfrac{32x-8x^2+2x^3}{x^3+64}\)
f) \(\dfrac{9-\left(x+5\right)^2}{x^2+4x+4}\)
g) \(\dfrac{80x^3-125x}{3\left(x-3\right)-\left(x-3\right)\left(8-4x\right)}\)
h) \(\dfrac{5x^3+5x}{x^4-1}\)
i) \(\dfrac{x^2+5x+6}{x^2+4x+4}\)
Rút gọn các phân thức sau
a) x3 - 5x2 + 6x/-4x2 + 10x - 4
b) x2 - 3xy + 2y2/x3 + 2x2y - xy2 - 2y3
Rút gọn phân thức x^2+3xy+2y^2/x^3+2x^2y-xy^2-2y^3
rút gọn các phân thức sau:
x3 - 5x2 + 6x x2 - 3xy + 2y2
a) ---------------- b) -------------------------
-4x2 + 10x - 4 x3 + 2x2y - xy2 -2y3
HELP ME PLEASE
[x-2]3-x[x+1] [x-1] +6x [x-3]
[x-2] [x2 -2x +4] [x+2] [x2 + 2x + 4 ]
[2x+y] [4x2 -2xy +y2 ] - [2x-y] [4x2 + 2xy + y2 ]
[x+y]3 - [x-y]3 - 2y3
Rút gọn các phân thức sau :
a) dfrac{x^2-16
}{4x-x^2} ( x ne x , x ne 4 )
b) dfrac{x^2+4x+3}{2x+6} ( x ne -3 )
c) dfrac{15xleft(x+yright)^3}{5yleft(x+yright)^2} ( y + ( x + y ) ne 0 )
d) dfrac{5left(x-yright)-3left(y-xright)}{10left(x-yright)} ( x ne y )
e) dfrac{2x+2y+5x+5y}{2x+2y-5x-5y} ( x ne - y )
f)dfrac{x^2-xy}{3xy-3y^2} ( x ne y , y ne 0 )
g) dfrac{2ax^2-4ax+2a}{5b-5bx^2} ( b ne 0 , x nepm1 )
h) dfrac{4x^2-4xy}{5x^3-5x^2y}left(xne0,xne yright)
i) dfrac{left(x+yright)^2-z^2}{x+y+z}l...
Đọc tiếp
Rút gọn các phân thức sau :
a) \(\dfrac{x^2-16
}{4x-x^2}\) ( x \(\ne\) x , x \(\ne\) 4 )
b) \(\dfrac{x^2+4x+3}{2x+6}\) ( x \(\ne\) -3 )
c) \(\dfrac{15x\left(x+y\right)^3}{5y\left(x+y\right)^2}\) ( y + ( x + y ) \(\ne\) 0 )
d) \(\dfrac{5\left(x-y\right)-3\left(y-x\right)}{10\left(x-y\right)}\) ( x \(\ne\) y )
e) \(\dfrac{2x+2y+5x+5y}{2x+2y-5x-5y}\) ( x \(\ne\) - y )
f)\(\dfrac{x^2-xy}{3xy-3y^2}\) ( x \(\ne\) y , y \(\ne\) 0 )
g) \(\dfrac{2ax^2-4ax+2a}{5b-5bx^2}\) ( b \(\ne\) 0 , x \(\ne\pm\)1 )
h) \(\dfrac{4x^2-4xy}{5x^3-5x^2y}\left(x\ne0,x\ne y\right)\)
i) \(\dfrac{\left(x+y\right)^2-z^2}{x+y+z}\left(x+y+z\ne0\right)\)
k)\(\dfrac{x^6+2x^3y^3+y^6}{x^7-xy^6}\left(x\ne0,x\ne y\right)\)
Help me!!!
Rút gọn các phân thức sau:
a) \(\dfrac{x^6+2x^3y^3+y^6}{x^7-xy^6}\)
b) \(\dfrac{\left(2x^2+2x\right)\left(x-2\right)^2}{\left(x^3-4x\right)\left(x+1\right)}\)
c) \(\dfrac{x^3-x^2y+xy^2}{x^3+y^3}\)
d) \(\dfrac{a^2+b^2-c^2+2ab}{a^2-b^2+c^2+2ac}\)
e) \(\dfrac{2x^3-7x^2-12x+45}{3x^3-19x^2+33x-9}\)