Thực hiện phép tính:
\(\dfrac{4}{x+2}-\dfrac{3}{2-x}-\dfrac{5x+2}{x^2-4}\)
Những câu hỏi liên quan
Thực hiện phép tính
\(\dfrac{5x+5y}{3x-3y}\):\(\dfrac{5x}{x^2-y^2}\)
\(\dfrac{5x+5y}{3x-3y}:\dfrac{5x}{x^2-y^2}.\)
\(=\dfrac{5\left(x+y\right)}{3\left(x-y\right)}.\dfrac{\left(x-y\right)\left(x+y\right)}{5x}.\)
\(=\dfrac{x+y}{3}.\dfrac{x+y}{x}.\)
\(=\dfrac{\left(x+y\right)^2}{3x}.\)
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Thực hiện phép tính
a) (x\(^2\)-3x+4)(-3x+1)
b)\(\dfrac{1}{x}\)+\(\dfrac{1}{x+5}\)+\(\dfrac{x-5}{x^2+5x}\)
Mọi người giúp mình nhanh nha mình cần gấp
b: \(=\dfrac{x+5+x+x-5}{x\left(x+5\right)}=\dfrac{3x}{x\left(x+5\right)}=\dfrac{3}{x+5}\)
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\(a,=-3x^3+x^2+9x^2-3x-12x+4=-3x^3+10x^2-15x+4\\ b,=\dfrac{x+5+x+x-5}{x\left(x+5\right)}=\dfrac{3x}{x\left(x+5\right)}=\dfrac{3}{x+5}\)
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Các bạn cho mình hỏi: Thực hiện phép tính
(2\(\dfrac{1}{3}\) + 3\(\dfrac{1}{2}\)) : (- 4\(\dfrac{1}{6}\) + 3\(\dfrac{1}{7}\)) + 7,5
`(2 1/3 + 3 1/2): (-4 1/6 + 3 1/7) +7,5`
`=(7/3 +7/2) : (-25/6 + 22/7) + 15/2`
`=35/6 : (-43/42) + 15/2`
`=-245/43+15/2`
`=155/86`
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Thực hiện phép tính
a, \(\dfrac{3}{x+3}-\dfrac{x-6}{x^2+3}\)
b, \(\dfrac{2x^2-x}{x-1}+\dfrac{x+1}{1-x}+\dfrac{2-x^2}{x-1}\)
\(\dfrac{2x^2-x}{x-1}+\dfrac{x+1}{1-x}+\dfrac{2-x^2}{x-1}.\left(x\ne1\right).\)
\(\dfrac{2x^2-x-x-1+2-x^2}{x-1}=\dfrac{x^2-2x+1}{x-1}=\dfrac{\left(x-1\right)^2}{x-1}=x-1.\)
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Thực hiện phép tính sau :
a, 4x2y3 . \(\dfrac{2}{4}\) x3y
b, ( 5x - 2 ) (25x2 + 10x + 4 )
giúp mik voi !1 mai kiểm tra rồi
a) 4x2y3.\(\dfrac{2}{4}\)x3y
= (4.\(\dfrac{2}{4}\))(x2.x3)(y3.y)
=\(\dfrac{1}{2}\)x5y4
b)(5x-2)(25x2+10x+4)
=(5x-2)(5x+2)2
= (5x-2)(5x+2)(5x+2)
=(5x2-22)(5x+2)
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a) 4x2y3 .2/4x3y
= 2x5y4
b) (5x-2)(25x2+10x+4)
= 125x3+50x2+20x-50x2-20x-8.
= 125x3-8
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thực hiện phép tính:
(x^3-x^2-7x+3):(x-3)
Thực hiện phép tính 1 cách hợp lý :
[ 1 + 1/2 } x [ 1 + 1/3} x [ 1 + 1/4] x....x [ 1 + 1/1+n]
Bài 1:Thực hiện phép tính
1) x+3/x - x/x-3 + 9/x^2-3x
2) 3/x - 5/x-1 + 3x+2/x^2-x
1: ĐKXĐ: \(x\notin\left\{0;3\right\}\)
\(\dfrac{x+3}{x}-\dfrac{x}{x-3}+\dfrac{9}{x^2-3x}\)
\(=\dfrac{x+3}{x}-\dfrac{x}{x-3}+\dfrac{9}{x\left(x-3\right)}\)
\(=\dfrac{\left(x+3\right)\left(x-3\right)-x^2+9}{x\left(x-3\right)}\)
\(=\dfrac{x^2-9-x^2+9}{x\left(x-3\right)}\)
=0
2: ĐKXĐ: \(x\notin\left\{0;1\right\}\)
\(\dfrac{3}{x}-\dfrac{5}{x-1}+\dfrac{3x+2}{x^2-x}\)
\(=\dfrac{3}{x}-\dfrac{5}{x-1}+\dfrac{3x+2}{x\left(x-1\right)}\)
\(=\dfrac{3x-3-5x+3x+2}{x\left(x-1\right)}\)
\(=\dfrac{x-1}{x\left(x-1\right)}=\dfrac{1}{x}\)
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1. Thực hiện phép tính:
a.dfrac{x}{x-3}+ dfrac{9-6x}{x^{2^{ }}-3x}
b. dfrac{6x^2}{6x-1}- dfrac{x}{6x-1}
c. dfrac{2}{x-y}+dfrac{3}{x+y}+dfrac{4x}{y^{2^{ }}-x^2}
d. dfrac{x+1}{x^{2^{ }}-2x+1}: dfrac{x+1}{5x-5}
e. dfrac{7x+6}{2xleft(x+7right)} - dfrac{3x+6}{2x^2+14x}
f. dfrac{3x+21}{x^2-9}+dfrac{2}{x+3}+dfrac{3}{3-x}
g. (dfrac{x}{x^2-36} - dfrac{x-6}{x^{2^{ }}+6x}) : dfrac{2x-6}{x^2+6x} + dfrac{x}{6-x}
Đọc tiếp
1. Thực hiện phép tính:
a.\(\dfrac{x}{x-3}\)+ \(\dfrac{9-6x}{x^{2^{ }}-3x}\)
b. \(\dfrac{6x^2}{6x-1}\)- \(\dfrac{x}{6x-1}\)
c. \(\dfrac{2}{x-y}\)+\(\dfrac{3}{x+y}\)+\(\dfrac{4x}{y^{2^{ }}-x^2}\)
d. \(\dfrac{x+1}{x^{2^{ }}-2x+1}\): \(\dfrac{x+1}{5x-5}\)
e. \(\dfrac{7x+6}{2x\left(x+7\right)}\) - \(\dfrac{3x+6}{2x^2+14x}\)
f. \(\dfrac{3x+21}{x^2-9}\)+\(\dfrac{2}{x+3}\)+\(\dfrac{3}{3-x}\)
g. (\(\dfrac{x}{x^2-36}\) - \(\dfrac{x-6}{x^{2^{ }}+6x}\)) : \(\dfrac{2x-6}{x^2+6x}\) + \(\dfrac{x}{6-x}\)
a) \(\dfrac{x}{x-3}+\dfrac{9-6x}{x^2-3x}=\dfrac{x^2}{x\left(x-3\right)}+\dfrac{9-6x}{x\left(x-3\right)}=\dfrac{x^2-6x+9}{x\left(x-3\right)}=\dfrac{\left(x-3\right)^2}{x\left(x-3\right)}=\dfrac{x-3}{x}\)
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b: \(=\dfrac{6x^2-x}{6x-1}=x\)
c: \(=\dfrac{2x+2y+3x-3y-4x}{\left(x-y\right)\left(x+y\right)}=\dfrac{x-y}{\left(x-y\right)\left(x+y\right)}=\dfrac{1}{x+y}\)
d: \(=\dfrac{x+1}{\left(x-1\right)^2}\cdot\dfrac{5\left(x-1\right)}{x+1}=\dfrac{5}{x-1}\)
f: \(=\dfrac{3x+21+2x-6-3x-9}{\left(x-3\right)\left(x+3\right)}=\dfrac{2x+6}{\left(x-3\right)\left(x+3\right)}=\dfrac{2}{x-3}\)
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