\(\dfrac{2x+1}{2x^2-x}+\dfrac{2x-1}{2x^2+x}=\dfrac{2x+1}{x\left(2x-1\right)}+\dfrac{2x-1}{x\left(2x+1\right)}=\dfrac{\left(2x+1\right)^2+\left(2x-1\right)^2}{x\left(2x-1\right)\left(2x+1\right)}=\dfrac{4x^2+4x+1+4x^2-4x+1}{x\left(2x-1\right)\left(2x+1\right)}=\dfrac{8x^2+2}{x\left(2x-1\right)\left(2x+1\right)}\)
*Cộng các phân thức sau:a) x^2/x+1 + 2x/x^2-1 + 1/1+x+1 b) 2x+y/2x^2-y + 8y/y^2-4x^2+2x-y/2x^2+xy
tính: ( x^2 + x +1)/ ( 2x^3 + 4x^2+2x)+ ( x^2 -x+1)/( 2x^3-2x)+ 1/ ( 1+ x-x^2-X^3)
*Cộng các phân thức sau: a) x^2/x+1 + 2x/x^2-1 + 1/1+x+1 b) 2x+y/2x^2-y + 8y/y^2-4x^2+2x-y/2x^2+xy c) 1/x-y +3xy/y^3-x^3 + x-y/x^2+xy+y^2
Bài 1:tính
a)\(\dfrac{x^2-2^{ }}{x\left(x-1\right)^2}+\dfrac{2-x}{x\left(1-x\right)^2}\)
b)\(\dfrac{3}{2x}+\dfrac{3x-3}{2x-1}+\dfrac{2x^2+1}{4x^2-2x}\)
c)\(\dfrac{x}{x-1}+\dfrac{2}{x^2+x+1}+\dfrac{4x^2-1}{1-x^3}\)
làm phép tính
\(\dfrac{x}{x^2+2xy}+\dfrac{1}{x-2y}+\dfrac{4y}{4y^2-x^2}\)
\(\dfrac{2x}{x-1}+\dfrac{5x^2-5}{x^2+2x+1}.\dfrac{2x+2}{5-5x}\)
\(\left(\dfrac{2x}{2x-1}+\dfrac{3x}{2x+1}\right).\dfrac{4x^2-4x+1}{8x^2+10x}\)
\(\dfrac{5x-5}{2x}.\left(\dfrac{x+1}{x-1}-\dfrac{x-1}{x+1}\right)\)
GIÚP MÌNH VỚI CÁC BẠN
\(\frac{3}{2x^2+2x}+\frac{2x-1}{x^2-1}-\frac{2}{x}\)
Làm tính cộng các phân thức :
a) \(\dfrac{11x+13}{3x-3}+\dfrac{15x+17}{4-4x}\)
b) \(\dfrac{2x+1}{2x^2-x}+\dfrac{32x^2}{1-4x^2}+\dfrac{1-2x}{2x^2+x}\)
c) \(\dfrac{1}{x^2+x+1}+\dfrac{1}{x^2-x}+\dfrac{2x}{1-x^3}\)
d) \(\dfrac{x^4}{1-x}+x^3+x^2+x+1\)
1) thực hiện các phép tính sau
a) 3x - 5/ 7+ 4x+ 5/7
b) 5xy - 4x/2x^2y^3 + 3xy+ 4y/2x^2y^3
c) x+1/X-5+x-18/x-5+x+2/x-5
2)
a) 2/x+3 + 1/x
b) x+1/2x-2+(-2x)/x^2-1
c) y - 12/6y- 36+ 6/ y^2- 6y
d) 6y/x+3x+3/2x+6
Cộng các phân thức khác mẫu thức :
a) \(\dfrac{5}{6x^2y}+\dfrac{7}{12xy^2}+\dfrac{11}{18xy}\)
b) \(\dfrac{4x+2}{15x^3y}+\dfrac{5y-3}{9x^2y}+\dfrac{x+1}{5xy^3}\)
c) \(\dfrac{3}{2x}+\dfrac{3x-3}{2x-1}+\dfrac{2x^2+1}{4x^2-2x}\)
d) \(\dfrac{x^3+2x}{x^3+1}+\dfrac{2x}{x^2-x+1}+\dfrac{1}{x+1}\)
