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, \(\dfrac{x^2-36}{2x+10}.\dfrac{3}{6-x}\)
thực hiện phép tính:
\(M=\dfrac{a^2}{a+1}+\dfrac{1}{a-1}-\dfrac{2a}{a^2-1}\)
\(N=\dfrac{4}{x+2}+\dfrac{3}{x-2}+\dfrac{5x+2}{4-x^2}\)
P=\(\dfrac{1}{x^2+3x+2}-\dfrac{2x}{x^3+4x^2+4x}+\dfrac{1}{x^2+5x+6}\)
\(Q=\dfrac{1-2x}{2x}+\dfrac{2x}{2x-1}+\dfrac{1}{2x-4x^2}\)
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m.n giải hộ em với ,cảm ơn ạ
Thực hiện phép tính
a) \(\dfrac{2x+y}{2x^2-xy}+\dfrac{8y}{y^2-4x^2}+\dfrac{2x-y}{2x^2+xy}\)
b) \(\dfrac{1}{x^2+3x+2}+\dfrac{2x}{x^2+4x+3}+\dfrac{1}{x^2+5x+6}\)
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, \(\dfrac{1}{1-x}\) +\(\dfrac{1}{1+x}\) + \(\dfrac{2}{1+x^2}\) + \(\dfrac{4}{1+x^4}\) + \(\dfrac{8}{1+x^8}\)+ \(\dfrac{16}{1+x^{16}}\)
Làm tính cộng các phân thức sau :
a) \(\dfrac{5}{2x^2y}+\dfrac{3}{5xy^2}+\dfrac{x}{y^3}\)
b) \(\dfrac{x+1}{2x+6}+\dfrac{2x+3}{x\left(x+3\right)}\)
c) \(\dfrac{3x+5}{x^2-5x}+\dfrac{25-x}{25-5x}\)
d) \(x^2+\dfrac{x^4+1}{1-x^2}+1\)
e) \(\dfrac{4x^2-3x+17}{x^3-1}+\dfrac{2x-1}{x^2+x+1}+\dfrac{6}{1-x}\)
\(\dfrac{x+1}{2x-2}+\dfrac{-2x}{x^2-1}\)
\(\dfrac{y-12}{6y-36}+\dfrac{4}{y^2-6y}\)
\(\dfrac{6-x}{x^2+3x}+\dfrac{3}{2x+6}\)
\(\dfrac{1}{x-y}+\dfrac{1}{x+y}+\dfrac{2x}{x^2+y^2}+\dfrac{4x^3}{x^4+y^4}+\dfrac{8x^7}{x^8+y^8}\)
a)\(\dfrac{2}{x+3}+\dfrac{1}{x}\)
b)\(\dfrac{x+1}{2x-2}+\dfrac{-2x}{x^2-1}\)
c)\(\dfrac{y-12}{6y-36}+\dfrac{6}{y^2-6y}\)
d)\(\dfrac{6+x}{x+3x}+\dfrac{3}{2x+6}\)
\(\dfrac{y}{2x^2-xy}+\dfrac{4x}{y^2-2xy}\)
\(\dfrac{1}{x+2}+\dfrac{3}{x^2-4}+\dfrac{x-14}{\left(x^2+4x+4\right).\left(x-2\right)}\)
\(\dfrac{1}{x+2}+\dfrac{1}{\left(x+2\right).\left(4x+7\right)}\)
\(\dfrac{1}{x+3}+\dfrac{1}{\left(x+3\right).\left(x+2\right)}+\dfrac{1}{\left(x+2\right).\left(4x+7\right)}\)