e ) \(\frac{x}{x-2y}+\frac{x}{x+2y}+\frac{4xy}{4y^2-x^2}\)
Những câu hỏi liên quan
Rút gọn: \(\frac{2x^2-4xy}{x^2+4xy+4y^2}:\frac{4y^2-x^2}{x^2-4xy+4y^2}:\frac{5x^2y-10xy^2}{x^3+6x^2y+12xy^2+8y^3}\)
\(=\frac{2x\left(x-2y\right)}{\left(x+2y\right)^2}:\frac{\left(2y-x\right)\left(2y+x\right)}{\left(x-2y\right)^2}:\frac{5xy\left(x-2y\right)}{\left(x+2y\right)^3}\)
Điều kiện: \(x\ne2y;x\ne-2y;x\ne0;y\ne0\)
\(=\frac{2x\left(x-2y\right)}{\left(x+2y\right)^2}:\frac{\left(2y+x\right)}{\left(x-2y\right)}:\frac{5xy\left(x-2y\right)}{\left(x+2y\right)^3}\)
\(=\frac{2x\left(x-2y\right)}{\left(x+2y\right)^2}\times\frac{x-2y}{x+2y}\times\frac{\left(x+2y\right)^3}{5xy\left(x-2y\right)}=\frac{2\left(x-2y\right)}{5y}\)
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Rút gọn: \(\frac{2x^2-4xy}{x^2+4xy+4y^2}:\frac{4y^2-x^2}{x^2-4xy+4y^2}:\frac{5x^2y-10xy^2}{x^3+6x^2y+12xy^2+8y^3}\)
\(=\dfrac{2x\left(x-2y\right)}{\left(x+2y\right)^2}\cdot\dfrac{\left(x-2y\right)^2}{-\left(x-2y\right)\left(x+2y\right)}:\dfrac{5x^2y-10xy^2}{x^3+6x^2y+12xy^3+8y^3}\)
\(=\dfrac{-2x\left(x-2y\right)^2}{\left(x+2y\right)^3}\cdot\dfrac{\left(x+2y\right)^3}{5xy\left(x-2y\right)}\)
\(=\dfrac{-2x\cdot\left(x-2y\right)}{5xy}=\dfrac{-2\left(x-2y\right)}{5y}\)
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Tính
\(\frac{x}{x-2y}+\frac{x}{x+2y}+\frac{4xy}{4y^2-x^2}\)
\(\frac{x}{x-2y}+\frac{x}{x+2y}+\frac{4xy}{4y^2-x^2}\)
\(=\frac{x\left(x+2y\right)}{\left(x-2y\right)\left(x+2y\right)}+\frac{x\left(x-2y\right)}{\left(x+2y\right)\left(x-2y\right)}-\frac{4xy}{\left(x-2y\right)\left(x+2y\right)}\)
\(=\frac{x^2+2xy+x^2-2xy-4xy}{\left(x-2y\right)\left(x+2y\right)}\)
\(=\frac{2x^2-4xy}{\left(x-2y\right)\left(x+2y\right)}\)
\(=\frac{2x\left(x-2y\right)}{\left(x-2y\right)\left(x+2y\right)}\)
\(=\frac{2x}{x+2y}\)
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Rút gọn:
\(\frac{2x^2-4xy}{x^2+4xy+4y^2}\): \(\frac{4y^2-x^2}{x^2-4xy+4y^2}\): \(\frac{5x^2y-10xy^2}{x^3+6x^2y+12xy^2+8y^2}\)
\(\frac{x^2+4y^2}{x^2-2y^2+xy}-\frac{4xy}{x^2-2y^2-xy}\)
lên qanda mà giải í (điện thoại di động)
các bạn khôn ghê
Tính: \(\frac{x^2+3xy+2y^2}{5x^2+4xy-y^2}-\frac{x^2-5xy+4y^2}{-2x^2+4xy-2y^2}\)
\(\frac{x^2+3xy+2y^2}{5x^2+4xy-y^2}-\frac{x^2-5xy+4y^2}{-2x^2+4xy-2y^2}\)
\(=\frac{x+2y}{5x-y}-\left[-\frac{x-4y}{2\left(x-y\right)}\right]\)
\(=\frac{x+2y}{5x-y}+\frac{x-4y}{2\left(x-y\right)}\)
\(=\frac{\left(x+2y\right).2\left(x-y\right)}{\left(5x-y\right).2\left(x-y\right)}+\frac{\left(x-4y\right).\left(5x-y\right)}{2\left(x-y\right).\left(5x-y\right)}\)
\(=\frac{\left(x+2y\right).2\left(x-y\right)+\left(x-4y\right).\left(5x-y\right)}{2\left(x-y\right).\left(5x-y\right)}\)
\(=\frac{7x^2-19xy}{2\left(x-y\right).\left(5x-y\right)}\)
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Thực hiện phép tính:
1,frac{1-2x}{2x}+frac{2x}{2x-1}+frac{1}{2x-4x^2}
2,frac{x^2+2}{x^3-1}+frac{2}{x^2+x+1}+frac{1}{1-x}
3,frac{x}{x-2y}+frac{x}{x+2y}+frac{4xy}{4y^2-x^2}
4,frac{2x}{x^2+2xy}+frac{y}{xy-2y^2}+frac{4}{x^2-4y^2}
5,left(frac{9}{x^3-9x}+frac{1}{x+3}right):left(frac{x-3}{x^2+3x}-frac{x}{3x+9}right)
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Thực hiện phép tính:
1,\(\frac{1-2x}{2x}+\frac{2x}{2x-1}+\frac{1}{2x-4x^2}\)
2,\(\frac{x^2+2}{x^3-1}+\frac{2}{x^2+x+1}+\frac{1}{1-x}\)
3,\(\frac{x}{x-2y}+\frac{x}{x+2y}+\frac{4xy}{4y^2-x^2}\)
4,\(\frac{2x}{x^2+2xy}+\frac{y}{xy-2y^2}+\frac{4}{x^2-4y^2}\)
5,\(\left(\frac{9}{x^3-9x}+\frac{1}{x+3}\right):\left(\frac{x-3}{x^2+3x}-\frac{x}{3x+9}\right)\)
Làmmmm
1/ \(\frac{1-2x}{2x}+\frac{2x}{2x-1}+\frac{1}{2x-4x^2}\)(ĐKXĐ:x\(\ne0\), x\(\ne\frac{1}{2}\))
= \(\frac{\left(1-2x\right)\left(2x-1\right)}{2x\left(2x-1\right)}+\frac{4x^2}{\left(2x-1\right)2x}-\frac{1}{2x\left(2x-1\right)}\)
\(=\frac{2x-1-4x^2+2x+4x^2-1}{2x\left(2x-1\right)}\)
\(=\frac{4x-2}{2x\left(2x-1\right)}=\frac{2\left(2x-1\right)}{2x\left(2x-1\right)}=\frac{1}{x}\)
KL:..............
2/\(\frac{x^2+2}{x^3-1}+\frac{2}{x^2+x+1}+\frac{1}{1-x}\)(ĐKXĐ : x\(\ne1\))
\(=\frac{x^2+2}{x^3-1}+\frac{2x-2}{x^3-1}-\frac{x^2+x+1}{x^3-1}\)
\(=\frac{x^2+2+2x-2-x^2-x-1}{x^3-1}=\frac{x-1}{x^3-1}=\frac{1}{x^2+x+1}\)
Kl:....................
3/ \(\frac{x}{x-2y}+\frac{x}{x+2y}+\frac{4xy}{4y^2-x^2}\)(x\(\ne\pm2y\))
= \(\frac{x^2+2xy}{x^2-4y^2}+\frac{x^2-2xy}{x^2-4y^2}-\frac{4xy}{x^2-4y^2}=\frac{2x^2-4xy}{x^2-4y^2}=\frac{2x\left(x-2y\right)}{x^2-4y^2}=\frac{2x}{x+2y}\)
Kl:................
Tính :
a) \(x^4y-5xy^3+2xy^3-5x^4y\)
b) \(10x3y5-5xy+5x3y5+8xy\)
c) \(5xy^2\left(\frac{-3}{10}x^2y\right)+\frac{3}{4}x^3y^3\)
d) \(\frac{2}{5}x^4y^5\left(\frac{5}{4}x^2y^3\right)+\frac{5}{2}x^2y^3\left(\frac{-9}{10}x^4y^5\right)\)
e) \(-5x^2y+12xy^2+7xy-10xy+3x^2y-4xy^2\)
CÁC PN GIÚP MIK NHA ! GHI RÕ RA GIÚP ! THANK YOU VERY MUCH ! ^_<
a/=X^4*y*(1-5)+(2-5)*X*Y^3
=X^4*y*-4+-3*X*Y^3
tạm thời tớ giúp được thế thôi.để tớ còn làm nốt ba bài hình cô giao đã
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Tính : a) 10x3y5-5xy+5x3y5+8xyb) 5xy^2left(frac{-3}{10}x^2y:right)+frac{3}{4}x^3y^3c) frac{2}{5}x^4y^5left(frac{5}{4}x^2y^3right)+frac{5}{2}x^2y^3left(frac{-9}{10}x^4y^5right)d) -5x^2y+12xy^2+7xy-10xy+3x^2y-4xy^2e) frac{1}{4}x^2-left(frac{5}{2}x-frac{7}{2}x^2-1right)+left(frac{5}{2}x-1+frac{1}{2}xright)CÁC PN GIÚP ^_^ MIK VS NHA ! GHI RÕ RA (^_-) GIÙM MIK NHÉ ! THANK YOU (≧▽≦) VERY MUCH ! (^_^)
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Tính :
a) \(10x3y5-5xy+5x3y5+8xy\)
b) \(5xy^2\left(\frac{-3}{10}x^2y\:\right)+\frac{3}{4}x^3y^3\)
c) \(\frac{2}{5}x^4y^5\left(\frac{5}{4}x^2y^3\right)+\frac{5}{2}x^2y^3\left(\frac{-9}{10}x^4y^5\right)\)
d) \(-5x^2y+12xy^2+7xy-10xy+3x^2y-4xy^2\)
e) \(\frac{1}{4}x^2-\left(\frac{5}{2}x-\frac{7}{2}x^2-1\right)+\left(\frac{5}{2}x-1+\frac{1}{2}x\right)\)
CÁC PN GIÚP ^_^ MIK VS NHA ! GHI RÕ RA (^_-) GIÙM MIK NHÉ ! THANK YOU (≧▽≦) VERY MUCH ! (^_^)
a) 15x3y5+3xy
c)(-7/4)x6y8
d) -2x2y+8xy2-3xy
e)15/4x2+1/2x
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a )x=2 y=3
b)x=5 y=13
c)x=1 y=3
d)x=9 y=13
e)x=0 y=8
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