Bài 5: Phép cộng các phân thức đại số
Các câu hỏi tương tự
*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
Thực hiện phép tính
a) \(\dfrac{2x+y}{2x^2-xy}+\dfrac{8y}{y^2-4x^2}+\dfrac{2x-y}{2x^2+xy}\)
b) \(\dfrac{1}{x^2+3x+2}+\dfrac{2x}{x^2+4x+3}+\dfrac{1}{x^2+5x+6}\)
Tính
a). \(\dfrac{2x^2-10xy}{2xy}+\dfrac{5y-x}{y}+\dfrac{x+2y}{x}\)
b) \(\dfrac{x+1}{2x-2}+\dfrac{x^2+3}{2-2x^2}\)
c) \(x+y+\dfrac{x^2+y^2}{x+y}\)
d) \(\dfrac{2x+y}{2x^2-xy}+\dfrac{16x}{y^2-4x^2}+\dfrac{2x-y}{2x^2+xy}\)
e) \(\dfrac{2x^2-xy}{x-y}+\dfrac{xy+y^2}{y-x}+\dfrac{2y^2-x^2}{x-y}\)
1, Thực hiện phép tính :
a, dfrac{2x+4}{10} + dfrac{2-x}{15}
b, dfrac{3x}{10} + dfrac{2x-1}{15} + dfrac{2-x}{20}
c, dfrac{x+1}{2x-2} + dfrac{x^2+3}{2-2x^2}
d, dfrac{1-2x}{2x} + dfrac{2x}{2x-1} + dfrac{1}{2x-4x^2}
e, dfrac{x}{xy-y^2} + dfrac{2x-y}{xy-x^2}
f, dfrac{x^2}{x^2-4x} + dfrac{6}{6-3x} +dfrac{1}{x+2}
g, dfrac{2x^2-10xy}{2xy} + dfrac{5y-x}{y} + dfrac{x+2y}{x}
h, dfrac{2}{x+y} +dfrac{1}{x-y} + dfrac{-3x}{x^2-y^2}
i, x+y+ dfrac{x^2+y^2}{x+y}
2, Thực hiện phép tính :
a, dfrac{2x}{...
Đọc tiếp
1, Thực hiện phép tính :
a, \(\dfrac{2x+4}{10}\) + \(\dfrac{2-x}{15}\)
b, \(\dfrac{3x}{10}\) + \(\dfrac{2x-1}{15}\) + \(\dfrac{2-x}{20}\)
c, \(\dfrac{x+1}{2x-2}\) + \(\dfrac{x^2+3}{2-2x^2}\)
d, \(\dfrac{1-2x}{2x}\) + \(\dfrac{2x}{2x-1}\) + \(\dfrac{1}{2x-4x^2}\)
e, \(\dfrac{x}{xy-y^2}\) + \(\dfrac{2x-y}{xy-x^2}\)
f, \(\dfrac{x^2}{x^2-4x}\) + \(\dfrac{6}{6-3x}\) +\(\dfrac{1}{x+2}\)
g, \(\dfrac{2x^2-10xy}{2xy}\) + \(\dfrac{5y-x}{y}\) + \(\dfrac{x+2y}{x}\)
h, \(\dfrac{2}{x+y}\) +\(\dfrac{1}{x-y}\) + \(\dfrac{-3x}{x^2-y^2}\)
i, x+y+ \(\dfrac{x^2+y^2}{x+y}\)
2, Thực hiện phép tính :
a, \(\dfrac{2x}{x^2+2xy}\) + \(\dfrac{y}{xy-2y^2}\)+ \(\dfrac{4}{x^2-4y^2}\)
b, \(\dfrac{1}{x-y}\) + \(\dfrac{3xy}{y^3-x^3}\) + \(\dfrac{x-y}{x^2+xy+y^2}\)
c, \(\dfrac{2x+y}{2x^2-xy}\) + \(\dfrac{16x}{y^2-4x^2}\) + \(\dfrac{2x-y}{2x^2+xy}\)
d, \(\dfrac{1}{1-x}\) +\(\dfrac{1}{1+x}\) + \(\dfrac{2}{1+x^2}\) + \(\dfrac{4}{1+x^4}\) + \(\dfrac{8}{1+x^8}\)+ \(\dfrac{16}{1+x^{16}}\)
Thực hiện phép tính:
a, dfrac{2x}{x^2+2xy}+dfrac{y}{xy-2y^2}+dfrac{4}{x^2-4y^2}
b, dfrac{1}{x-y}+dfrac{3xy}{y^3-x^3}+dfrac{x-y}{x^2+xy+y^2}
c, dfrac{2x+y}{2x^2+xy}+dfrac{16x}{y^2-4y^2}+dfrac{2x-y}{2x^2+xy}
d, 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}}
Đọc tiếp
Thực hiện phép tính:
a, \(\dfrac{2x}{x^2+2xy}\)+\(\dfrac{y}{xy-2y^2}\)+\(\dfrac{4}{x^2-4y^2}\)
b, \(\dfrac{1}{x-y}\)+\(\dfrac{3xy}{y^3-x^3}\)+\(\dfrac{x-y}{x^2+xy+y^2}\)
c, \(\dfrac{2x+y}{2x^2+xy}\)+\(\dfrac{16x}{y^2-4y^2}\)+\(\dfrac{2x-y}{2x^2+xy}\)
d, \(\dfrac{1}{1-x}\)+\(\dfrac{1}{1+x}\)+\(\dfrac{2}{1+x^2}\)+\(\dfrac{4}{1+x^4}\)+\(\dfrac{8}{1+x^8}\)+\(\dfrac{16}{1+x^{16}}\)
1, Thực hiện phép tính:
a, dfrac{1-3x}{2}+dfrac{x+3}{2}
b, dfrac{2left(x+yright)left(x-yright)}{x}-dfrac{-2y^2}{x}
c, dfrac{3x+1}{x+y}-dfrac{2x-3}{x+y}
d, dfrac{xy}{2x-y}-dfrac{x^2-1}{y-2x}
e, dfrac{4x-1}{3x^2y}-dfrac{7x-1}{3x^2y}
2, Thực hiện phép tính:
a, dfrac{1}{x}.dfrac{6x}{y}
b, dfrac{2x^2}{y}.3xy^2
c, dfrac{15x}{7y^3}.dfrac{2y^2}{x^2}
d, dfrac{2x^2}{x-y}.dfrac{y}{5x^3}
e, dfrac{5x+10}{4x-8}.dfrac{4-2x}{x+2}
f, dfrac{x^2-36}{2x+10}.dfrac{3}{6-x}
Đọc tiếp
1, Thực hiện phép tính:
a, \(\dfrac{1-3x}{2}+\dfrac{x+3}{2}\)
b, \(\dfrac{2\left(x+y\right)\left(x-y\right)}{x}-\dfrac{-2y^2}{x}\)
c, \(\dfrac{3x+1}{x+y}-\dfrac{2x-3}{x+y}\)
d, \(\dfrac{xy}{2x-y}-\dfrac{x^2-1}{y-2x}\)
e, \(\dfrac{4x-1}{3x^2y}-\dfrac{7x-1}{3x^2y}\)
2, Thực hiện phép tính:
a, \(\dfrac{1}{x}.\dfrac{6x}{y}\)
b, \(\dfrac{2x^2}{y}.3xy^2\)
c, \(\dfrac{15x}{7y^3}.\dfrac{2y^2}{x^2}\)
d, \(\dfrac{2x^2}{x-y}.\dfrac{y}{5x^3}\)
e, \(\dfrac{5x+10}{4x-8}.\dfrac{4-2x}{x+2}\)
f, \(\dfrac{x^2-36}{2x+10}.\dfrac{3}{6-x}\)
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
Thực hiện phép tính
a) \(\dfrac{x}{xy-y^2}+\dfrac{2x-y}{xy-x^2}\)
b) \(\dfrac{x^2+2}{x^3-1}+\dfrac{x}{x^2+x+1}+\dfrac{1}{1-x}\)
c) \(\left(x-1\right)-\dfrac{x^2-4}{x+1}\)
d) \(\dfrac{x}{x^2-2x}-\dfrac{x^2+4x}{x^3-4x}-\dfrac{2}{x^2+2x}\)
\(\dfrac{y}{2x^2-xy}+\dfrac{4x}{y^2-2xy}\)
\(\dfrac{1}{x+2}+\dfrac{3}{x^2-4}+\dfrac{x-14}{\left(x^2+4x+4\right).\left(x-2\right)}\)
\(\dfrac{1}{x+2}+\dfrac{1}{\left(x+2\right).\left(4x+7\right)}\)
\(\dfrac{1}{x+3}+\dfrac{1}{\left(x+3\right).\left(x+2\right)}+\dfrac{1}{\left(x+2\right).\left(4x+7\right)}\)