\(\dfrac{x+1}{x+4}-\dfrac{x^2-4}{x^2-16}\\ =\dfrac{x+1}{x+4}-\dfrac{x^2-4}{\left(x-4\right)\left(x+4\right)}\\ =\dfrac{\left(x+1\right)\left(x-4\right)-x^2+4}{\left(x+4\right)\left(x-4\right)}\\ =\dfrac{x^2+x-4x-4-x^2+4}{\left(x+4\right)\left(x-4\right)}\\ =\dfrac{-3x}{\left(x+4\right)\left(x-4\right)}\)
\(\dfrac{1}{x-1}-\dfrac{1}{x+1}-\dfrac{2}{x^2+1}-\dfrac{4}{x^4+1}-\dfrac{8}{x^8+1}-\dfrac{16}{x^{16}+1}\)
Tìm x
1) tính
a) \(\dfrac{2}{x^2+2x}+\dfrac{2}{x^2+6x+8}+\dfrac{2}{x^2+10x+24}+\dfrac{2}{x^2+14x+48}\)
b) \(\dfrac{1}{1-x}+\dfrac{1}{1+x}+\dfrac{2}{1+x^2}+\dfrac{4}{1+x^4}+\dfrac{8}{1+x^8}+\dfrac{16}{1+x^{16}}\)
a)\(\dfrac{3}{2y+4}-\dfrac{1}{3y+6}\)
b)\(\dfrac{1}{2x-3}-\dfrac{1}{2x+3}\)
c)\(\dfrac{1}{xy-x^2}-\dfrac{1}{y^2-xy}\)
d)\(\dfrac{x+1}{x+4}-\dfrac{x^2-4}{x^2-16}\)
3. Làm tính trừ các phân thức sau:
a) \(\dfrac{3}{2y+4}-\dfrac{1}{3y+6}\)
b) \(\dfrac{1}{2x-3}-\dfrac{1}{2x+3}\)
c) \(\dfrac{1}{xy-x^2}-\dfrac{1}{y^2-xy}\)
d) \(\dfrac{x+1}{x+4}-\dfrac{x^2-4}{x^2-16}\)
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
Trừ phân thức:
a) x^2+y^2/(x-y)^3 - 2xy/(x-y)^3.
b) x^2+25y^2/x^2-25y^2 - 10xy/x^2-25y^2.
c)3x/5x+5y - x/10x-10y.
d) 1/x-3 - 3/2x+6 - x/2x^2-12x+18.
e) (x^2-1) - x^4-3x^2-4/x^2+1.
f) 1/3x-2 - 4/3x+2 - 3x-6/4-9x^2.
g) 4x^2-3x+5/x^3-1 - 1-2x/x^2+x+1 - 6/x-1.
h) 5/x+1 - 10/x-x^2-1 - 15/x^3+1.
i) 2/2x+1 - 1/2x-1 - 2/4x^2-1.
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)\(\dfrac{x^2-3}{x^3+2x^2-x-2}-\dfrac{x}{2-x-x}\)
tính:
1x(x+1)+1(x+1)(x+2)+1(x+2)(x+3)+1(x+3)(x+4)+1(x+4)(x+5)+1(x+5)(x+6)+1(x+6)(x+7)+1(x+7)(x+8)
a) x+1/2x-6-4/2x-6 b) 3x-4/6x+3-x-5/6x+3
c) x-1/x-3-3x-8/3-x+3-2x/x-3 d) 3/x+5-5/x-7
e) 3/x+5-5/x-7 f) 2/x-2+3/x+2+5x-18/x2-4
\(\dfrac{2x^3+5}{x^2-x+1}-\dfrac{x^3+4}{x^2-x+1}\)help me :(
