Thực hiện phép tính :
a, \(\dfrac{x^3}{x+1}+\dfrac{x^2}{x-1}+\dfrac{1}{x+1}+\dfrac{1}{1-x}\)
b, \(\dfrac{x^3}{x-1}-\dfrac{x^2}{x+1}-\dfrac{1}{x-1}+\dfrac{1}{x+1}\)
c, \(\dfrac{4-2x+x^2}{2+x}-2-x\)
Xác định a và b :
\(\dfrac{2x^2+ax}{x^2-3x+2}=\dfrac{a}{x-1}+\dfrac{b}{\left(x-2\right)^2}\)
Theo định nghĩa của phép trừ, khi viết :
\(\dfrac{A}{B}-\dfrac{C}{D}-\dfrac{E}{F}\) có nghĩa là \(\dfrac{A}{B}+\dfrac{-C}{D}+\dfrac{-E}{F}\)
Áp dụng điều này để làm các phép tính sau :
a) \(\dfrac{1}{3x-2}-\dfrac{1}{3x+2}-\dfrac{3x-6}{4-9x^2}\)
b) \(\dfrac{18}{\left(x-3\right)\left(x^2-9\right)}-\dfrac{3}{x^2-6x+9}-\dfrac{x}{x^2-9}\)
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) \(\dfrac{1}{1-x}+\dfrac{1}{1+x}+\dfrac{2}{1+x^2}+\dfrac{4}{1+x^4}+\dfrac{8}{1+x^8}+\dfrac{16}{1+x^{16}}\)
LÀM TÍNH CỘNG
a)\(\dfrac{1}{5-2b}+\dfrac{2b-2}{3\left(2b-5\right)}\)
b)\(\dfrac{5b}{2b-6}+\dfrac{8}{3-b}\)
c)\(\dfrac{x+2}{x-1}-\dfrac{x-9}{1-x}-\dfrac{x-8}{1-x}\)
d)\(\dfrac{3}{x+2}+\dfrac{6x}{4-x^2}\)
e)\(\dfrac{1}{a+1}+\dfrac{2}{1-a}+\dfrac{5a-1}{a^2-1}\)
GIÚP MÌNH VỚI MAI LÀ NỘP BÀI RỒI
Thực hiện các phép tính sau :
a) \(\dfrac{x^3-x^2+x-1}{x^2-4}-\dfrac{x-2}{x^2+3x+2}-\dfrac{3x}{x^2-x-2}-\dfrac{2x+5}{\left(x+1\right)\left(4-x^2\right)}\)
b) \(\dfrac{19^2-30x+9}{2x^3+54}-\dfrac{x^3-3}{2^2+6x}-\dfrac{3x^2}{2x^2-6x+18}\)
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)\(\dfrac{x+1}{x+4}-\dfrac{x^2-4}{x^2-16}\)
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 phép tinh sau :
a) \(x-1-\dfrac{x^2-4}{x+1}\)
b) \(\dfrac{3x-1}{6x+2}-\dfrac{3x+1}{2-6x}-\dfrac{6x}{9x^2-1}\)
c)\(\dfrac{x}{x^2-2x}-\dfrac{x^2+4x}{x^3-4x}-\dfrac{2}{x^2+2x}\)
d) \(\dfrac{2x^2+1}{x^3+1}-\dfrac{x-1}{x^2-x-1}-\dfrac{1}{x+1}\)
