QUy đồng
\(\dfrac{5x^2}{x^2+5x+6};\dfrac{2x+3}{x^2+7x+10};-5\)
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QUy đồng
\(\dfrac{5x^2}{x^2+5x+6};\dfrac{2x+3}{x^2+7x+10};-5\)
MSC:
\(\dfrac{5x^2}{\left(x+2\right)\left(x+3\right)};\dfrac{\left(2x+3\right)}{\left(x+2\right)\left(x+5\right)};-5\)
\(\dfrac{5x^2\left(x+5\right)}{\left(x+2\right)\left(x+3\right)\left(x+5\right)};\dfrac{\left(2x+3\right)\left(x+3\right)}{\left(x+2\right)\left(x+3\right)\left(x+5\right)};\dfrac{-5\left(x+2\right)\left(x+3\right)\left(x+5\right)}{\left(x+2\right)\left(x+3\right)\left(x+5\right)}\)
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Quy đồng mẫu thức các phân thức sau:
\(\dfrac{x+y}{x^{2^{ }}.(y+z)}\); \(\dfrac{y+z}{y^2.\left(z+x\right)}\); \(\dfrac{z+x}{z^2.\left(x+y\right)}\)
\(\dfrac{5x}{x^2+5x+6}\); \(\dfrac{2x+3}{x^2+7x+10}\); -5
Quy đồng mẫu thức:
a) \(\dfrac{3x+5}{x^2-5x}+\dfrac{25-x}{25-5x}\)
b) \(\dfrac{x+1}{x+3}+\dfrac{x-7}{x^2+x-6}+\dfrac{1}{x-2}\)
\(a,=\dfrac{15x+25-25x+x^2}{5x\left(x-5\right)}=\dfrac{\left(x-5\right)^2}{5x\left(x-5\right)}=\dfrac{x-5}{5x}\\ b,=\dfrac{x^2-x-2+x-7+x+3}{\left(x+3\right)\left(x-2\right)}=\dfrac{x^2+x-6}{x^2+x-6}=1\)
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\(a,\dfrac{3x+5}{x^2-5x}+\dfrac{25-x}{25-5x}\)
\(=\dfrac{3x+5}{x\left(x-5\right)}+\dfrac{25-x}{5\left(5-x\right)}\)
\(=\dfrac{-3x-5}{x\left(5-x\right)}+\dfrac{25-x}{5\left(5-x\right)}\)
\(=\dfrac{5\left(-3x-5\right)}{5x\left(5-x\right)}+\dfrac{x\left(25-x\right)}{5x\left(5-x\right)}\)
\(=\dfrac{-15x-25+25x-x^2}{5x\left(5-x\right)}\)
\(=\dfrac{10x-25-x^2}{5x\left(5-x\right)}\)
\(=\dfrac{-\left(5-x\right)^2}{5x\left(5-x\right)}\)
\(=\dfrac{-5+x}{5x}\)
\(b,\dfrac{x+1}{x+3}+\dfrac{x-7}{x^2+x-6}+\dfrac{1}{x-2}\)
\(=\dfrac{x+1}{x+3}+\dfrac{x-7}{\left(x+3\right)\left(x-2\right)}+\dfrac{1}{x-2}\)
\(=\dfrac{\left(x+1\right)\left(x-2\right)}{\left(x+3\right)\left(x-2\right)}+\dfrac{x-7}{\left(x+3\right)\left(x-2\right)}+\dfrac{x+3}{\left(x+3\right)\left(x-2\right)}\)
\(=\dfrac{x^2-2x+x-2+x-7+x+3}{\left(x+3\right)\left(x-2\right)}\)
\(=\dfrac{x^2+x-6}{\left(x+3\right)\left(x-2\right)}\)
\(=\dfrac{x^2+x-6}{x^2-2x+3x-6}\)
\(=\dfrac{x^2+x-6}{x^2+x-6}\)
\(=1\)
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quy đồng mẫu thức của các phân tử
a, \(\dfrac{2}{5x^3y};\dfrac{5}{xy^2}\)
b, \(\dfrac{3x}{x-5};\dfrac{-2}{3\left(x-5\right)}\)
c, \(\dfrac{1}{\left(x+3\right)\left(x-3\right)};\dfrac{5x}{x^2-9}\)
Quy đồng mẫu thức các phân thức sau
\(\dfrac{1}{-x^2+3x-2}\), \(\dfrac{1}{x^2+5x-6}\),\(\dfrac{1}{-x^24x-3}\)
25 tháng 11 2021 lúc 10:41
bài 1; Quy đồng mẫu thức các phân thức sau:
c) \(\dfrac{x}{x^3+1};\dfrac{x-1}{x+1};\dfrac{x+2}{x^2-x+1}\)
d) \(\dfrac{2}{x^2+5x};\dfrac{x+5}{x^2+10x+25};\dfrac{x+2}{x}\)
quy đồng mẫu 2 phân thức 10/7x^5x và 6/5x^2
Quy đồng mẫu thức các phân thức sau:
a) \(\dfrac{3x-6}{x^2-4x+4};\dfrac{5x-5}{2x^2-2}\)
b) 2;\(\dfrac{2a+1}{a^3-1};\dfrac{-a}{1-a}\)
c) \(\dfrac{x+1}{x^2-6x+5};\dfrac{2x}{x^3-6x^2+11x-6};\dfrac{1}{x^2-3x+2}\)
a)
\(\dfrac{3x-6}{x^2-6x+5}=\dfrac{3x-6}{x^2-x-5x+5}=\dfrac{3x-6}{x\left(x-1\right)-5\left(x-1\right)}=\dfrac{3x-6}{\left(x-1\right)\left(x-5\right)}\)
\(\dfrac{5x-5}{2x^2-2}=\dfrac{5x-5}{2\left(x^2-1\right)}=\dfrac{5x-5}{2\left(x-1\right)\left(x+1\right)}\)
MTC: \(2\left(x-1\right)\left(x+1\right)\left(x-5\right)\)
\(\dfrac{3x-6}{x^2-6x+5}=\dfrac{3x-6}{x^2-x-5x+5}=\dfrac{3x-6}{x\left(x-1\right)-5\left(x-1\right)}\\ =\dfrac{3x-6}{\left(x-1\right)\left(x-5\right)}=\dfrac{2\left(x+1\right)\left(3x-6\right)}{2\left(x-1\right)\left(x+1\right)\left(x-5\right)}\)
\(\dfrac{5x-5}{2x^2-2}=\dfrac{5x-5}{2\left(x^2-1\right)}=\dfrac{5x-5}{2\left(x-1\right)\left(x+1\right)}\\ =\dfrac{\left(x-5\right)\left(5x-5\right)}{2\left(x-1\right)\left(x+1\right)\left(x-5\right)}\)
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M.n jup mk câu b,c vs ạk
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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) \(\dfrac{5x^2}{x^3+6x^2+12x+8};\dfrac{4x}{x^2+4x+4};\dfrac{3}{2x+4}\)
