Tính: \(\frac{a-x}{6x^2-ãx-2a^2}-\frac{a+x}{4a^2-4ax-3x^2}\)
Giúp mình với !!!
Những câu hỏi liên quan
Quy đồng mẫu phân thức sau :
1.\(\frac{a-x}{6x^2-ax-2a^2};\frac{a+x}{3x^2+4ax-4a^2}\)
quy đồng
\(\frac{a-x}{6ax^2-a^2x-2a^3}\) và \(\frac{a+x}{3x^3+4ax^2-4a^2x}\)
Quy đồng mẫu các phân thức sau:(có thể tính luôn càng tốt ạ)
a) dfrac{a+x}{a^2x};dfrac{x+b}{x^2b};dfrac{b+a}{b^2a}
b) dfrac{a-x}{6x^2-ax-2a^2};dfrac{a+x}{3x^2+4ax-4a^2}
c) dfrac{1-2x}{2x} + dfrac{2x}{2x-1} + dfrac{1}{2x-4x^2}
Mn giúp mik vs nhaaa! Tầm trc cmai nhoaaa!
Thanks mn trc ạ!!!
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Quy đồng mẫu các phân thức sau:(có thể tính luôn càng tốt ạ)
a) \(\dfrac{a+x}{a^2x}\);\(\dfrac{x+b}{x^2b}\);\(\dfrac{b+a}{b^2a}\)
b) \(\dfrac{a-x}{6x^2-ax-2a^2}\);\(\dfrac{a+x}{3x^2+4ax-4a^2}\)
c) \(\dfrac{1-2x}{2x}\) + \(\dfrac{2x}{2x-1}\) + \(\dfrac{1}{2x-4x^2}\)
Mn giúp mik vs nhaaa! Tầm trc cmai nhoaaa!
Thanks mn trc ạ!!!
giải phương trình với tham số a:
\(3x+\frac{x}{a}-\frac{3a}{a+1}=\frac{4ax}{\left(a+1\right)^2}+\frac{\left(2a+1\right)x}{a\left(a+1\right)^2}-\frac{3a^2}{\left(a+1\right)^3}\)
giải phương trình với tham số a:
\(3x+\frac{x}{a}-\frac{3a}{a+1}=\frac{4ax}{\left(a+1\right)^2}+\frac{\left(2a+1\right)x}{a\left(a+1\right)^2}-\frac{3a^2}{\left(a+1\right)^3}\)
GIÚP MÌNH NHÉ!! Thực hiện phép tính:a) frac{x+3}{x}-frac{x}{x-3}+frac{9}{x^2-3x}b) frac{1}{3x-2}-frac{4}{3x+2}-frac{-10x+8}{9x^2-4}c) frac{4a^2-3a+5}{a^3-1}-frac{1-2a}{a^2+a+1}-frac{6}{a-1} d) frac{x+9y}{x^2-9y^2}-frac{3y}{x^2+3xy}e) frac{3x+2}{x^2-2x+1}-frac{6}{x^2-1}-frac{3x-2}{x^2+2x+1}f) frac{5}{a+1}-frac{10}{a-left(a^2+1right)}-frac{15}{a^3+1}
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GIÚP MÌNH NHÉ!!
Thực hiện phép tính:
a) \(\frac{x+3}{x}-\frac{x}{x-3}+\frac{9}{x^2-3x}\)
b) \(\frac{1}{3x-2}-\frac{4}{3x+2}-\frac{-10x+8}{9x^2-4}\)
c) \(\frac{4a^2-3a+5}{a^3-1}-\frac{1-2a}{a^2+a+1}-\frac{6}{a-1}\)
d) \(\frac{x+9y}{x^2-9y^2}-\frac{3y}{x^2+3xy}\)
e) \(\frac{3x+2}{x^2-2x+1}-\frac{6}{x^2-1}-\frac{3x-2}{x^2+2x+1}\)
f) \(\frac{5}{a+1}-\frac{10}{a-\left(a^2+1\right)}-\frac{15}{a^3+1}\)
a) \(\frac{x+3}{x}-\frac{x}{x-3}+\frac{9}{x^2-3x}=\frac{x+3}{x}-\frac{x}{x-3}+\frac{9}{x\left(x-3\right)}\)
\(=\frac{\left(x+3\right)\left(x-3\right)}{x\left(x-3\right)}-\frac{x.x}{x\left(x-3\right)}+\frac{9}{x\left(x-3\right)}\)
\(=\frac{x^2-3x+3x-9-x^2+9}{x\left(x-3\right)}=\frac{0}{x\left(x-3\right)}=0\)
b) \(\frac{1}{3x-2}-\frac{4}{3x+2}-\frac{-10x+8}{9x^2-4}\)
\(=\frac{1}{3x-2}-\frac{4}{3x+2}-\frac{-10+8}{\left(3x-2\right)\left(3x+2\right)}\)
\(=\frac{1\left(3x+2\right)}{\left(3x-2\right)\left(3x+2\right)}-\frac{4\left(3x-2\right)}{\left(3x+2\right)\left(3x-2\right)}-\frac{-10x+8}{\left(3x-2\right)\left(3x+2\right)}\)
\(\frac{3x+2-12x+2+10x-8}{\left(3x-2\right)\left(3x+2\right)}=\frac{x-4}{\left(3x-2\right)\left(3+2\right)}\)
c) \(\frac{4a^2-3a+5}{a^3-1}-\frac{1-2a}{a^2+a+1}-\frac{6}{a-1}\)
\(=\frac{4a^2-3a+5}{\left(a-1\right)\left(a^2+a+1\right)}+\frac{2a-1}{a^2+a+1}-\frac{6}{a-1}\)
\(=\frac{4a^2-3a+5}{\left(a-1\right)\left(a^2+a+1\right)}+\frac{\left(2a-1\right)\left(a-1\right)}{\left(a-1\right)\left(a^2+a+1\right)}-\frac{6\left(a^2+a+1\right)}{\left(a-1\right)\left(a^2+a+1\right)}\)
\(=\frac{4a^2-3a+5+2a^2-2a-a+1-6a^2-6a-6}{\left(a-1\right)\left(a^2+a+1\right)}\)
\(=\frac{-12}{\left(a-1\right)\left(a^2+a+1\right)}\)
d) \(\frac{x+9y}{x^2-9y^2}-\frac{3y}{x^2+3xy}=\frac{x+9y}{\left(x-3y\right)\left(x+3y\right)}-\frac{3y}{x\left(x+3y\right)}=\frac{x\left(x+9y\right)}{x\left(x-3y\right)\left(x+3y\right)}-\frac{3y\left(x-3y\right)}{x\left(x-3y\right)\left(x+3y\right)}\)
\(=\frac{x^2+9xy-3xy+9y^2}{x\left(x-3y\right)\left(x+3y\right)}=\frac{x^2-6xy+9y^2}{x\left(x-3y\right)\left(x+3y\right)}=\frac{\left(x-3y\right)^2}{x\left(x-3y\right)\left(x+3y\right)}=\frac{x-3y}{x\left(x+3y\right)}\)
e) \(\frac{3x+2}{x^2-2x+1}-\frac{6}{x^2-1}-\frac{3x-2}{x^2+2x+1}\)
\(=\frac{3x-2}{\left(x-1\right)^2}-\frac{6}{\left(x-1\right)\left(x+1\right)}-\frac{3x-2}{\left(x+1\right)^2}\)
\(=\frac{\left(3x+2\right)\left(x+1\right)^2}{\left(x-1\right)^2\left(x+1\right)^2}-\frac{6\left(x-1\right)\left(x+1\right)}{\left(x-1\right)\left(x+1\right)\left(x-1\right)\left(x+1\right)}-\frac{\left(3x-2\right)\left(x-1\right)^2}{\left(x+1\right)^2\left(x-1\right)^2}\)
\(=\frac{3x^3+6x^2+3x+2x^2+4x+2-6x^2+6-3x^3+6x^2-3x+2x^2-4x+2}{\left(x-1\right)^2\left(x+1\right)^2}\)
\(=\frac{8x^2+10}{\left(x-1\right)^2\left(x+1\right)^2}\)
f) \(\frac{5}{a+1}-\frac{10}{a-\left(a^2+1\right)}-\frac{15}{a^3+1}=\frac{5a^2}{a^3+1}+\frac{10}{a^3+1}-\frac{15}{a^3+1}\)
\(=\frac{5a^2+10-15}{a^3+1}=\frac{5a^2-5}{a^3+1}\)
Tính :
(a -x) / (6x^2 - ax - 2a^2) + (a+x) / (3x^2 + 4x - 4a^2)
bài này mk chưa giải được . mong mn giúp mk . cảm ơn nhiều !
\(\left(a^2-4a^2\right)\left(\frac{2a}{a^2-4x^2}\right)+\frac{x+3}{2x^2+6x-ã-3a}\)
Quy đồng mẫu các phân thức sau :
1.\(\dfrac{x}{x^2-2ax+a^2},\dfrac{x+a}{x^2-ax}\)
2.\(\dfrac{x}{x^3-1},\dfrac{x+1}{x^2-x},\dfrac{x-1}{x^2+x+1}\)
3.\(\dfrac{a-x}{6x^2-ax-2a^2},\dfrac{a+x}{3x^2+4ax-4a^2}\)
1,
\(x^2-2ax+a^2=\left(x-a\right)^2\)
\(x^2-ax=x\left(x-a\right)\)
Vậy MSC: \(\left(x-a\right)^2x\)
2,
\(x^3-1=\left(x-1\right)\left(x^2+x+1\right)\)
\(x^2-x=x\left(x-1\right)\)
\(x^2+x+1\)
vậy MSC là: \(x\left(x-1\right)\left(x^2+x+1\right)\)
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