Rút gọn phân thức:
\(a,\dfrac{4x^3}{10x^2y}\)
\(b,\dfrac{10xy^5\left(2x-3y\right)}{12xy\left(2x-3y\right)}\)
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Rút gọn phân thức:
\(a,\dfrac{4x^3}{10x^2y}\)
\(b,\dfrac{10xy^5\left(2x-3y\right)}{12xy\left(2x-3y\right)}\)
\(a,\frac{4x^3}{10x^2y}=\frac{2x}{5y}\)
\(b,\frac{10xy^5\left(2x-3y\right)}{12xy\left(2x-3y\right)}=\frac{5y^4}{6}\)
Hok Tốt~~
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\(\frac{4x^3}{10x^2y}=\frac{2x}{5y}\)
\(\frac{10xy^5\left(2x-3y\right)}{12xy\left(2x-3y\right)}=\frac{5y^4}{4}\)
Tham khảo nhé~
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a) \(=\frac{2x}{5y}\)
b) \(=\frac{5y^4}{4}\)
#Học_tốt
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Rút gọn các phân thức:
a)\(\dfrac{14xy^5\left(2x-3y\right)}{21x^2y\left(2x-3y\right)^2}\) b)\(\dfrac{8xy\left(3x-1\right)^3}{12x^3\left(1-3x\right)}\)
c) \(\dfrac{20x^2-45
}{\left(2x+3\right)^2}\) d) \(\dfrac{5x^2-10xy}{2\left(2y-x\right)^3}\)
\(a,=\dfrac{2y^4}{3x\left(2x-3y\right)}\\ b,=-\dfrac{2y\left(3x-1\right)^2}{3x^2}\\ c,=\dfrac{5\left(4x^2-9\right)}{\left(2x+3\right)^2}=\dfrac{5\left(2x-3\right)\left(2x+3\right)}{\left(2x+3\right)^2}=\dfrac{5\left(2x-3\right)}{2x+3}\\ d,=\dfrac{5x\left(x-2y\right)}{-2\left(x-2y\right)^3}=-\dfrac{5x}{2\left(x-2y\right)^2}\)
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Rút gọn các phân thức :
a) dfrac{14xy^5left(2x-3yright)}{21x^2yleft(2x-3yright)^2}
b) dfrac{8xyleft(3x-1right)^3}{12x^3left(1-3xright)}
c) dfrac{20x^2-45}{left(2x+3right)^2}
d) dfrac{5x^2-10xy}{2left(2y-xright)^3}
e) dfrac{32x-8x^2+2x^3}{x^3+64}
f) dfrac{9-left(x+5right)^2}{x^2+4x+4}
g) dfrac{80x^3-125x}{3left(x-3right)-left(x-3right)left(8-4xright)}
h) dfrac{5x^3+5x}{x^4-1}
i) dfrac{x^2+5x+6}{x^2+4x+4}
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Rút gọn các phân thức :
a) \(\dfrac{14xy^5\left(2x-3y\right)}{21x^2y\left(2x-3y\right)^2}\)
b) \(\dfrac{8xy\left(3x-1\right)^3}{12x^3\left(1-3x\right)}\)
c) \(\dfrac{20x^2-45}{\left(2x+3\right)^2}\)
d) \(\dfrac{5x^2-10xy}{2\left(2y-x\right)^3}\)
e) \(\dfrac{32x-8x^2+2x^3}{x^3+64}\)
f) \(\dfrac{9-\left(x+5\right)^2}{x^2+4x+4}\)
g) \(\dfrac{80x^3-125x}{3\left(x-3\right)-\left(x-3\right)\left(8-4x\right)}\)
h) \(\dfrac{5x^3+5x}{x^4-1}\)
i) \(\dfrac{x^2+5x+6}{x^2+4x+4}\)
Tìm tập xác định của biểu thức, rút gọn biểu thức, rồi tính giá trị của biểu thức với x = \(\dfrac{1}{3}\) , y = -2:
[\(\dfrac{2x}{2x-3y}\) - \(\dfrac{9y^2\left(3y+4x\right)}{8x^3-37y^3}\) - \(\dfrac{24xy}{4x^2+6xy+9y^2}\)][2x + \(\dfrac{3y\left(3y+4x\right)}{2x-3y}\)]
Đặt bthuc = A nhé
ĐKXĐ : \(2x\ne3y\)
\(A=\left[\dfrac{2x\left(4x^2+6xy+9y^2\right)}{\left(2x-3y\right)\left(4x^2+6xy+9y^2\right)}-\dfrac{27y^3+36xy^2}{\left(2x-3y\right)\left(4x^2+6xy+9y^2\right)}-\dfrac{24xy\left(2x-3y\right)}{\left(2x-3y\right)\left(4x^2+6xy+9y^2\right)}\right]\left[\dfrac{2x\left(2x-3y\right)}{\left(2x-3y\right)}+\dfrac{9y^2+12xy}{\left(2x-3y\right)}\right]\)\(=\left[\dfrac{8x^3+12x^2y+18xy^2-27y^3-36xy^2-48x^2y+72xy^2}{\left(2x-3y\right)\left(4x^2+6xy+9y^2\right)}\right]\left[\dfrac{4x^2-6xy+9y^2+12xy}{\left(2x-3y\right)}\right]\)
\(=\dfrac{8x^3-36x^2y+36xy^2-27y^3}{\left(2x-3y\right)\left(4x^2+6xy+9y^2\right)}\cdot\dfrac{4x^2+6xy+9y^2}{2x-3y}\)
\(=\dfrac{\left(2x-3y\right)^3}{\left(2x-3y\right)^2}=2x-3y\)
Với x = 1/3 ; y = -2 (tmđk) thay vào A ta được : A = 2.1/3 - 3.(-2) = 20/3
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Rút gọn các phân thức sau:
a) \(\dfrac{6x^2y^2}{8xy^{ }5}\)
b) \(\dfrac{10xy^2\left(x+y\right)}{15xy\left(x+y\right)^3}\)
c) \(\dfrac{2x^2+2x
}{x+1}\)
d) \(\dfrac{x^2-xy-x+y}{x^2+xy-x-y}\)
e) \(\dfrac{36\left(x-2\right)^3}{32-16x}\)
a) \(\dfrac{6x^2y^2}{8xy^5}=\dfrac{3x}{4y^3}\)
b) \(=\dfrac{2y}{3\left(x+y\right)^2}=\dfrac{2y}{3x^2+6xy+3y^2}\)
c) \(=\dfrac{2x\left(x+1\right)}{x+1}=2x\)
d) \(=\dfrac{x\left(x-y\right)-\left(x-y\right)}{x\left(x+y\right)-\left(x+y\right)}=\dfrac{\left(x-y\right)\left(x-1\right)}{\left(x+y\right)\left(x-1\right)}=\dfrac{x-y}{x+y}\)
e) \(=\dfrac{36\left(x-2\right)^3}{-16\left(x-2\right)}=-9\left(x-2\right)^2=-9x^2+36x-36\)
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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)}
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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) \(\dfrac{4x-4}{2x\left(x+3\right)};\dfrac{x-3}{3x\left(x+1\right)}\)
g) \(\dfrac{2x}{\left(x+2\right)^3};\dfrac{x-2}{2x\left(x+2\right)^2}\)
h) \(\dfrac{5}{3x^3-12x};\dfrac{3}{\left(2x+4\right)\left(x+3\right)}\)
bài 1. rút gọn phân thức sau :
a, dfrac{15xy}{10x^2y}
b, dfrac{4left(2-xright)}{6xleft(x-2right)}
c, dfrac{12x^3left(x-4right)^2}{8x^2left(4-xright)}
d, dfrac{6xleft(x+5right)^3}{2x^2left(x+5right)}
bài 2. rút gọn phân thức sau :
a, dfrac{15left(x-3right)^3}{9-3x}
b, dfrac{4left(5x-1right)^3}{2-10x}
c,dfrac{9x^2y}{-15x^3y}
d, dfrac{-15xleft(x-yright)^2}{6x^2left(x-yright)^3}
bài 3. rút gọn phân thức sau :
a, dfrac{5x^2+10x+5}{11x+11}
b, dfrac{18x+6x^2+2x^3}{x^3-27}
c, dfrac{12x^2+12...
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bài 1. rút gọn phân thức sau :
a, \(\dfrac{15xy}{10x^2y}\)
b, \(\dfrac{4\left(2-x\right)}{6x\left(x-2\right)}\)
c, \(\dfrac{12x^3\left(x-4\right)^2}{8x^2\left(4-x\right)}\)
d, \(\dfrac{6x\left(x+5\right)^3}{2x^2\left(x+5\right)}\)
bài 2. rút gọn phân thức sau :
a, \(\dfrac{15\left(x-3\right)^3}{9-3x}\)
b, \(\dfrac{4\left(5x-1\right)^3}{2-10x}\)
c,\(\dfrac{9x^2y}{-15x^3y}\)
d, \(\dfrac{-15x\left(x-y\right)^2}{6x^2\left(x-y\right)^3}\)
bài 3. rút gọn phân thức sau :
a, \(\dfrac{5x^2+10x+5}{11x+11}\)
b, \(\dfrac{18x+6x^2+2x^3}{x^3-27}\)
c, \(\dfrac{12x^2+12x+3}{4x^2-1}\)
bài 4 : rút gọ phân thức đại số
A= \(\dfrac{12xy^2}{-9x^3y}\)
B=\(\dfrac{35xy\left(x-4\right)^2}{28x^2\left(4-x\right)}\)
C= \(\dfrac{6x+18y}{x^2-9y^2}\)
Bài 1:
a) \(\dfrac{15xy}{10x^2y}\)
= \(\dfrac{3.5xy}{2.5xyx}\)
= \(\dfrac{3}{2x}\)
d) \(\dfrac{6x\left(x+5\right)^3}{2x^2\left(x+5\right)}\)
= \(\dfrac{3.2x\left(x+5\right)\left(x+5\right)^2}{x.2x\left(x+5\right)}\)
= \(\dfrac{3\left(x+5\right)^2}{x}\)
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Bài 2:
c) \(\dfrac{9x^2y}{-15x^3y}\)
= -\(\dfrac{3.3x^2y}{5.3x^2yx}\)
= -\(\dfrac{3}{5x}\)
d) \(\dfrac{-15x\left(x-y\right)^2}{6x^2\left(x-y\right)^3}\)
= \(\dfrac{5.3x\left(x-y\right)^2}{2x.3x\left(x-y\right)^2\left(x-y\right)}\)
= \(\dfrac{5}{2x\left(x-y\right)}\)
= \(\dfrac{5}{2x^2-2xy}\)
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Thực hiện phép tính:a) dfrac{2}{5}xyleft(x^2y-5x+10yright)b) left(x^2-1right)left(x^2+2x+yright)c) left(x+3yright)^2d) left(4x-yright)^3e) left(x^2-2yright)left(x^2+2yright)g) 18x^4y^2z:10x^4yh) left(x^3y^3+dfrac{1}{2}x^2y^3-x^3y^2right):dfrac{1}{3}x^2y^2i) left(6x^3-7x^2-x+2right):left(2x+1right)k) dfrac{5x-1}{3x^2y}+dfrac{x+1}{3x^2y}l) dfrac{3x+1}{x^2-3x+1}+dfrac{x^2-6x}{x^2-3x+1}m) dfrac{2x+3}{10x-4}+dfrac{5-3x}{4-10x}n) dfrac{x}{x^2+2x+1}+dfrac{3}{5x^2-5}o) dfrac{x^2+2}{x^3-1}+dfrac{2}{x^2+x...
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Thực hiện phép tính:
a) \(\dfrac{2}{5}xy\left(x^2y-5x+10y\right)\)
b) \(\left(x^2-1\right)\left(x^2+2x+y\right)\)
c) \(\left(x+3y\right)^2\)
d) \(\left(4x-y\right)^3\)
e) \(\left(x^2-2y\right)\left(x^2+2y\right)\)
g) \(18x^4y^2z:10x^4y\)
h) \(\left(x^3y^3+\dfrac{1}{2}x^2y^3-x^3y^2\right):\dfrac{1}{3}x^2y^2\)
i) \(\left(6x^3-7x^2-x+2\right):\left(2x+1\right)\)
k) \(\dfrac{5x-1}{3x^2y}+\dfrac{x+1}{3x^2y}\)
l) \(\dfrac{3x+1}{x^2-3x+1}+\dfrac{x^2-6x}{x^2-3x+1}\)
m) \(\dfrac{2x+3}{10x-4}+\dfrac{5-3x}{4-10x}\)
n) \(\dfrac{x}{x^2+2x+1}+\dfrac{3}{5x^2-5}\)
o) \(\dfrac{x^2+2}{x^3-1}+\dfrac{2}{x^2+x+1}+\dfrac{1}{1-x}\)
p) \(\dfrac{4x+2}{15x^3y}\dfrac{5y-3}{9x^2y}+\dfrac{x+1}{5xy^3}\)
q) \(\dfrac{2x-7}{10x-4}-\dfrac{3x+5}{4-10x}\)
r) \(\dfrac{3}{2x+6}-\dfrac{x-6}{2x^2+6x}\)
x) \(\dfrac{4y^2}{11x^4}.\left(-\dfrac{3x^2}{8y}\right)\)
y) \(\dfrac{x^2-4}{3x+12}.\dfrac{x+4}{2x-4}\)
z) \(\left(x^2-25\right):\dfrac{2x+10}{3x-7}\)
t) \(\left(\dfrac{2x+1}{2x-1}-\dfrac{2x-1}{2x+1}\right):\dfrac{4x}{10x-5}\)
w) \(\left(\dfrac{1}{x^2+x}-\dfrac{2-x}{x+1}\right):\left(\dfrac{1}{x}+x-2\right)\)
c: \(=x^2+6xy+9y^2\)
e: \(=x^4-4y^2\)
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RÚT GỌN PHÂN THỨC: a) frac{4x^3}{10x^2y} b) frac{10xy^5left(2x-3yright)}{12xyleft(2x-3yright)} c) frac{x^2+2x+1}{5x^3+5x^2} d) frac{2x^2+2x}{x+1}e) frac{3left(x-yright)}{y-x}f) frac{x^2-x}{1-x}
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RÚT GỌN PHÂN THỨC:
a) \(\frac{4x^3}{10x^2y}\) b) \(\frac{10xy^5\left(2x-3y\right)}{12xy\left(2x-3y\right)}\)
c) \(\frac{x^2+2x+1}{5x^3+5x^2}\) d) \(\frac{2x^2+2x}{x+1}\)
e) \(\frac{3\left(x-y\right)}{y-x}\)
f) \(\frac{x^2-x}{1-x}\)
b) rút gọn còn :
\(\frac{10xy^5}{12xy}\)
\(a.=\frac{2x}{5y}\)
\(b.=\frac{5y^4}{6}\)
\(c.=\frac{\left(x+1\right)^2}{5x^2\left(x+1\right)}=\frac{x+1}{5x^2}\)
\(d.=\frac{2x\left(x+1\right)}{x+1}=2x\)
\(e.=\frac{-3\left(x-y\right)}{\left(x-y\right)}=-3\)
\(f.=\frac{-x\left(x-1\right)}{\left(x-1\right)}=-x\)
\(a,\frac{4x^3}{10x^2y}=\frac{2x}{5y}\) \(b,\frac{10xy^5\left(2x-3y\right)}{12xy\left(2x-3y\right)}=\frac{5y^4}{6}\)
\(c,\frac{x^2+2x+1}{5x^3+5x^2}=\frac{x+1}{5x^2}\) \(d,\frac{2x^2+2x}{x+1}=2x\)
\(f,\frac{x^2-x}{1-x}=-x\) \(e,\frac{3\left(x-y\right)}{y-x}=-3\)
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