Làm tính trừ các phân thức sau :
a) \(\dfrac{4x-1}{3x^2y}-\dfrac{7x-1}{3x^2y}\)
b) \(\dfrac{4x+5}{2x-1}-\dfrac{5-9x}{2x-1}\)
c) \(\dfrac{11x}{2x-3}-\dfrac{x-18}{3-2x}\)
d) \(\dfrac{2x-7}{10x-4}-\dfrac{3x+5}{4-10x}\)
Những câu hỏi liên quan
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) \(\dfrac{x^3+2x}{x^3+1}+\dfrac{2x}{x^2-x+1}+\dfrac{1}{x+1}\)
Quy đồng mẫu thức các phân thức :
a) dfrac{7x-1}{2x^2+6x};dfrac{5-3x}{x^2-9}
b) dfrac{x+1}{x-x^2};dfrac{x+2}{2-4x+2x^2}
c) dfrac{4x^2-3x+5}{x^3-1};dfrac{2x}{x^2+x+1};dfrac{6}{x-1}
d) dfrac{7}{5x};dfrac{4}{x-2y};dfrac{x-y}{8y^2-2x^2}
e) dfrac{5x^2}{x^3+6x^2+12x+8};dfrac{4x}{x^2+4x+4};dfrac{3}{2x+4}
Đọc tiếp
Quy đồng mẫu thức các phân thức :
a) \(\dfrac{7x-1}{2x^2+6x};\dfrac{5-3x}{x^2-9}\)
b) \(\dfrac{x+1}{x-x^2};\dfrac{x+2}{2-4x+2x^2}\)
c) \(\dfrac{4x^2-3x+5}{x^3-1};\dfrac{2x}{x^2+x+1};\dfrac{6}{x-1}\)
d) \(\dfrac{7}{5x};\dfrac{4}{x-2y};\dfrac{x-y}{8y^2-2x^2}\)
e) \(\dfrac{5x^2}{x^3+6x^2+12x+8};\dfrac{4x}{x^2+4x+4};\dfrac{3}{2x+4}\)
thực hiện phép tính
\(\dfrac{1}{3x-2}-\dfrac{1}{3x+2}-\dfrac{3x-6}{9x^2-4}\)
\(\dfrac{x+25}{2x^2-50}-\dfrac{x+5}{x^2-5x}-\dfrac{5-x}{2x^2+10x}\)
\(\dfrac{1-2x}{2x}-\dfrac{4x}{2x-1}-\dfrac{3}{2x-4x^2}\)
a) \(\dfrac{1}{3x-2}-\dfrac{1}{3x+2}-\dfrac{3x-6}{9x^2-4}\)
\(=\dfrac{3x+2-3x+2-3x+6}{\left(3x-2\right)\left(3x+2\right)}\)
\(=\dfrac{-3x+10}{\left(3x-2\right)\left(3x+2\right)}\)
b) \(\dfrac{x+25}{2x^2-50}-\dfrac{x+5}{x^2-5x}-\dfrac{5-x}{2x^2+10x}\)
\(=\dfrac{x+25}{2\left(x-5\right)\left(x+5\right)}-\dfrac{x+5}{x\left(x-5\right)}+\dfrac{x-5}{2x\left(x+5\right)}\)
\(=\dfrac{x^2+25x-2\left(x+5\right)^2+\left(x-5\right)^2}{2x\left(x-5\right)\left(x+5\right)}\)
\(=\dfrac{x^2+25x-2x^2-20x-50+x^2-10x+25}{2x\left(x-5\right)\left(x+5\right)}\)
\(=\dfrac{-5x-25}{2x\left(x-5\right)\left(x+5\right)}\)
\(=\dfrac{-5\left(x+5\right)}{2x\left(x-5\right)\left(x+5\right)}=\dfrac{-5}{2x\left(x-5\right)}\)
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c) Ta có: \(\dfrac{1-2x}{2x}-\dfrac{4x}{2x-1}-\dfrac{3}{2x-4x^2}\)
\(=\dfrac{-\left(2x-1\right)^2-8x^2+3}{2x\left(2x-1\right)}\)
\(=\dfrac{-\left(4x^2-4x+1\right)-8x^2+3}{2x\left(2x-1\right)}\)
\(=\dfrac{-4x^2+4x-1-8x^2+3}{2x\left(2x-1\right)}\)
\(=\dfrac{-12x^2+4x+2}{2x\left(2x-1\right)}\)
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Quy đồng mẫu thức các phân thức sau :
a) dfrac{25}{14x^2y};dfrac{14}{21xy^5}
b) dfrac{11}{102x^4y};dfrac{3}{34xy^3}
c) dfrac{3x+1}{12xy^4};dfrac{y-2}{9x^2y^3}
d) dfrac{1}{6x^3y^2};dfrac{x+1}{9x^2y^4};dfrac{x-1}{4xy^3}
e) dfrac{3+2x}{10x^4y};dfrac{5}{8x^2y^2};dfrac{2}{3xy^5}
f) dfrac{4x-4}{2xleft(x+3right)};dfrac{x-3}{3xleft(x+1right)}
g) dfrac{2x}{left(x+2right)^3};dfrac{x-2}{2xleft(x+2right)^2}
h) dfrac{5}{3x^3-12x};dfrac{3}{left(2x+4right)left(x+3right)}
Đọc tiếp
Quy đồng mẫu thức các phân thức sau :
a) \(\dfrac{25}{14x^2y};\dfrac{14}{21xy^5}\)
b) \(\dfrac{11}{102x^4y};\dfrac{3}{34xy^3}\)
c) \(\dfrac{3x+1}{12xy^4};\dfrac{y-2}{9x^2y^3}\)
d) \(\dfrac{1}{6x^3y^2};\dfrac{x+1}{9x^2y^4};\dfrac{x-1}{4xy^3}\)
e) \(\dfrac{3+2x}{10x^4y};\dfrac{5}{8x^2y^2};\dfrac{2}{3xy^5}\)
f) \(\dfrac{4x-4}{2x\left(x+3\right)};\dfrac{x-3}{3x\left(x+1\right)}\)
g) \(\dfrac{2x}{\left(x+2\right)^3};\dfrac{x-2}{2x\left(x+2\right)^2}\)
h) \(\dfrac{5}{3x^3-12x};\dfrac{3}{\left(2x+4\right)\left(x+3\right)}\)
A dfrac{5xy^2-3z}{3xy}+dfrac{4x^2y+3z}{3xy}B dfrac{3y+5}{y-1}+dfrac{-y^2-4y}{1-y}+dfrac{y^2+y+7}{y-1}C dfrac{6x}{x^2-9}+dfrac{5x}{x-3}+dfrac{x}{x+3}D dfrac{1-3x}{2x}+dfrac{3x-2}{2x-1}+dfrac{3x-2}{2x-4x^2}E dfrac{x^3+2x}{x^3+1}+dfrac{2x}{x^2-x+1}+dfrac{1}{x+1}
Đọc tiếp
A = \(\dfrac{5xy^2-3z}{3xy}+\dfrac{4x^2y+3z}{3xy}\)
B = \(\dfrac{3y+5}{y-1}+\dfrac{-y^2-4y}{1-y}+\dfrac{y^2+y+7}{y-1}\)
C = \(\dfrac{6x}{x^2-9}+\dfrac{5x}{x-3}+\dfrac{x}{x+3}\)
D = \(\dfrac{1-3x}{2x}+\dfrac{3x-2}{2x-1}+\dfrac{3x-2}{2x-4x^2}\)
E = \(\dfrac{x^3+2x}{x^3+1}+\dfrac{2x}{x^2-x+1}+\dfrac{1}{x+1}\)
b: \(B=\dfrac{3y+5}{y-1}-\dfrac{-y^2-4y}{y-1}+\dfrac{y^2+y+7}{y-1}\)
\(=\dfrac{3y+5+y^2+4y+y^2+y+7}{y-1}\)
\(=\dfrac{2y^2+8y+12}{y-1}\)
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Làm tính trừ phân thức :
a) dfrac{3x-2}{2xy}-dfrac{7x-4}{2xy}
b) dfrac{3x+5}{4x^3y}-dfrac{5-15x}{4x^3y}
c) dfrac{4x+7}{2x+2}-dfrac{3x+6}{2x+2}
d) dfrac{9x+5}{2left(x-1right)left(x+3right)^2}-dfrac{5x-7}{2left(x-1right)left(x+3right)^2}
e) dfrac{xy}{x^2-y^2}-dfrac{x^2}{y^2-x^2}
f) dfrac{5x+y^2}{x^2y}-dfrac{5y-x^2}{xy^2}
g)dfrac{x}{5x+5}-dfrac{x}{10x-10}
h) dfrac{x+9}{x^2-9}-dfrac{3}{x^2+3x}
Đọc tiếp
Làm tính trừ phân thức :
a) \(\dfrac{3x-2}{2xy}-\dfrac{7x-4}{2xy}\)
b) \(\dfrac{3x+5}{4x^3y}-\dfrac{5-15x}{4x^3y}\)
c) \(\dfrac{4x+7}{2x+2}-\dfrac{3x+6}{2x+2}\)
d) \(\dfrac{9x+5}{2\left(x-1\right)\left(x+3\right)^2}-\dfrac{5x-7}{2\left(x-1\right)\left(x+3\right)^2}\)
e) \(\dfrac{xy}{x^2-y^2}-\dfrac{x^2}{y^2-x^2}\)
f) \(\dfrac{5x+y^2}{x^2y}-\dfrac{5y-x^2}{xy^2}\)
g)\(\dfrac{x}{5x+5}-\dfrac{x}{10x-10}\)
h) \(\dfrac{x+9}{x^2-9}-\dfrac{3}{x^2+3x}\)
a) dfrac{4x}{x^2+2x}+dfrac{8}{x^2+2x} b) dfrac{2x-3x}{x-2}-dfrac{2x-4}{x-2} c) dfrac{2x-1}{x+3}-dfrac{3x+2}{x+3}d) dfrac{11x}{2x-3}-dfrac{18-x}{2x-3}e) dfrac{3left(x-2right)}{2x+1}-dfrac{9x-3}{2x+1}
Đọc tiếp
a) \(\dfrac{4x}{x^2+2x}\)+\(\dfrac{8}{x^2+2x}\)
b) \(\dfrac{2x-3x}{x-2}\)-\(\dfrac{2x-4}{x-2}\)
c) \(\dfrac{2x-1}{x+3}\)-\(\dfrac{3x+2}{x+3}\)
d) \(\dfrac{11x}{2x-3}\)-\(\dfrac{18-x}{2x-3}\)
e) \(\dfrac{3\left(x-2\right)}{2x+1}\)-\(\dfrac{9x-3}{2x+1}\)
\(a,=\dfrac{4x+8}{x^2+2x}=\dfrac{4\left(x+2\right)}{x\left(x+2\right)}=\dfrac{4}{x}\\ b,=\dfrac{\left(2x-3\right)-\left(2x-4\right)}{x-2}=\dfrac{2x-3-2x+4}{x-2}=\dfrac{1}{x-2}\\ c,=\dfrac{2x-1-3x-2}{x+3}=\dfrac{-x-3}{x+3}=\dfrac{-\left(x+3\right)}{x+3}=-1\\ d,=\dfrac{11x-18+x}{2x-3}=\dfrac{12x-18}{2x-3}=\dfrac{6\left(2x-3\right)}{2x-3}=6\)
\(e,=\dfrac{3x-6-9x+3}{2x+1}=\dfrac{-6x-3}{2x+1}=\dfrac{-3\left(2x+1\right)}{2x+1}=-3\)
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Thực hiện phép tính:
a) \(\dfrac{x}{2x-y}-\dfrac{2x-y}{4x-2y}\)
b)\(\dfrac{3x+1}{x^2-1}-\dfrac{x}{2x-2}\)
c) \(\dfrac{x-2}{x^2-4}-\dfrac{-8-x}{3x^2+6x}\)
d) \(\dfrac{2}{2x-3}-\dfrac{x}{2x+3}-\dfrac{2x+1}{9-4x^2}\)
a: \(=\dfrac{2x-2x+y}{2\left(2x-y\right)}=\dfrac{y}{2\left(2x-y\right)}\)
b: \(=\dfrac{3x+1}{\left(x-1\right)\left(x+1\right)}-\dfrac{x}{2\left(x-1\right)}\)
\(=\dfrac{6x+2-x^2-x}{2\left(x-1\right)\left(x+1\right)}\)
\(=\dfrac{-x^2+5x+2}{2\left(x-1\right)\left(x+1\right)}\)
c: \(=\dfrac{1}{x+2}+\dfrac{x+8}{3x\left(x+2\right)}\)
\(=\dfrac{3x+x+8}{3x\left(x+2\right)}=\dfrac{4x+8}{3x\left(x+2\right)}=\dfrac{4}{3x}\)
d: \(=\dfrac{4x+6-2x^2+3x+2x+1}{\left(2x-3\right)\left(2x+3\right)}\)
\(=\dfrac{-2x^2+9x+7}{\left(2x-3\right)\left(2x+3\right)}\)
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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) \(\dfrac{4x^2-3x+17}{x^3-1}+\dfrac{2x-1}{x^2+x+1}+\dfrac{6}{1-x}\)
