Giúp mình với ạ!!! ai trả lời nhanh mình tick luôn nhé
a, \(\frac{2x^2-x}{x^2+x+1}+\frac{x^3-2x^2}{x^2+x+1}+\frac{x-1}{x^2+x+1}\)
b, \(\frac{2x+y}{x\left(y^2-x\right)}-\frac{2x-y}{x\left(y^2-x\right)}\)
c, \(\frac{4}{x+2}+\frac{3}{x-2}+\frac{-5-2}{x^2-4}\)
d, \(\frac{1-2x}{2x}+\frac{2x}{2x-1}+\frac{1}{2x-4x^2}\)
e, \(\frac{1}{x-y}+\frac{3xy}{y^3-x^3}+\frac{x-y}{x^2+xy+y^2}\)
f, \(\frac{3}{x^2+2xy+y^2}+\frac{4}{2xy-x^2-y^2}+\frac{5}{x^2-y^2}\)
tìm điều kiện xác định của phân thức
a) \(\frac{x^2-4}{x^2-1}\) c) \(\frac{x^2-5x+6}{x^2-1}\) e) \(\frac{2x+1}{x^2-5x+6}\)
b) \(\frac{5x-3}{2x^2-x}\) d) \(\frac{2}{\left(x+1\right)\left(x-3\right)}\)
giúp mình với các bạn :((
a)\(\frac{1-3x}{2}\)-\(\frac{x+3}{2}\) b)\(\frac{2\left(x+y\right)\left(x-y\right)}{x}\)-\(\frac{-2y^2}{x}\)
c)\(\frac{3x+1}{x+y}\)-\(\frac{2x-3}{x+y}\)
d)\(\frac{xy}{2x-y}\)-\(\frac{x^2-1}{y-2x}\)
e)\(\frac{4x-1}{3x^2y}\)-\(\frac{7x-1}{3x^2y}\)
giúp em với
Tìm x để A đạt giá trị nguyên biết A=\(\left(\frac{x^4+x^2-4x+1}{x^2-1}-\frac{x-1}{x+1}+\frac{x+1}{x-1}\right).\frac{x^2-1}{x^3-1}\)
Rút gọn biểu thức :
a) \(\dfrac{3x^2+5x+1}{x^3-1}-\dfrac{1-x}{x^2-6x+9}-\dfrac{3}{x-1}\)
b) \(\dfrac{1}{x^2-x+1}+1-\dfrac{x^2+2}{x^3+1}\)
c) \(\dfrac{7}{x}-\dfrac{x}{x+6}+\dfrac{36}{x^2+6x}\)
Thực hiện phép tính: A, x-2 - x^2-10/x+2 B, x/y^2- xy - y/xy-x^2 C, 1/x(x-1) + 1/x-1(x-2) + 1/(x-2)(x-3) + 1/(x-3)(x-4) + 1/(x-4)(x-5) Giúp mình bài này với ạ
Làm tính trừ phân thức :
a) \(\dfrac{3x-2}{2xy}-\dfrac{7x-4}{2xy}\)
b) \(\dfrac{3x+5}{4x^3y}-\dfrac{5-15x}{4x^3y}\)
c) \(\dfrac{4x+7}{2x+2}-\dfrac{3x+6}{2x+2}\)
d) \(\dfrac{9x+5}{2\left(x-1\right)\left(x+3\right)^2}-\dfrac{5x-7}{2\left(x-1\right)\left(x+3\right)^2}\)
e) \(\dfrac{xy}{x^2-y^2}-\dfrac{x^2}{y^2-x^2}\)
f) \(\dfrac{5x+y^2}{x^2y}-\dfrac{5y-x^2}{xy^2}\)
g)\(\dfrac{x}{5x+5}-\dfrac{x}{10x-10}\)
h) \(\dfrac{x+9}{x^2-9}-\dfrac{3}{x^2+3x}\)
a)\(\dfrac{2}{x+2}-\dfrac{1}{x+3}+\dfrac{2x+5}{\left(x+2\right)\left(x+3\right)}\)
b)\(\dfrac{2}{x+1}-\dfrac{1}{x+5}+\dfrac{2x+6}{\left(x+5\right)\left(x+1\right)}\)
c)\(\dfrac{-6}{x^2-9}-\dfrac{1}{x+3}+\dfrac{3}{x-3}\)
d)\(\dfrac{x}{x-2}-\dfrac{x}{x+2}+\dfrac{8}{x^2-4}\)
Tính:
a) \(\dfrac{9-3x}{x^2+3x+4}-\dfrac{3x-23}{\left(1-x\right)\left(x+4\right)}\)
b) \(\dfrac{4-x}{x^3+2x}-\dfrac{x+5}{x^3-x^2+2x-2}\)
c)\(\dfrac{x^2-3}{x^3+2x^2-x-2}-\dfrac{x}{2-x-x}\)
