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19 tháng 9 2025

a: \(\frac{3x}{x+1}-\frac{1}{1+x}=\frac{3x}{x+1}-\frac{1}{x+1}=\frac{3x-1}{x+1}\)

b: \(\frac{3y-2x}{x-2y}-\frac{x-y}{2y-x}\)

\(=\frac{-2x+3y}{x-2y}+\frac{x-y}{x-2y}=\frac{-2x+3y+x-y}{x-2y}=\frac{-x+2y}{x-2y}\)

=-1

c: \(\frac{1}{x-2}-\frac{1}{x+1}\)

\(=\frac{x+1-\left(x-2\right)}{\left(x+1\right)\left(x-2\right)}\)

\(=\frac{x+1-x+2}{\left(x+1\right)\left(x-2\right)}=\frac{3}{\left(x+1\right)\left(x-2\right)}\)

d: \(\frac{12}{x^2-9}-\frac{2}{x-3}\)

\(=\frac{12}{\left(x-3\right)\left(x+3\right)}-\frac{2}{x-3}\)

\(=\frac{12-2\left(x+3\right)}{\left(x-3\right)\left(x+3\right)}=\frac{12-2x-6}{\left(x-3\right)\left(x+3\right)}\)

\(=\frac{-2x+6}{\left(x-3\right)\left(x+3\right)}=\frac{-2\left(x-3\right)}{\left(x-3\right)\left(x+3\right)}=-\frac{2}{x+3}\)

e: \(\frac{1}{xy-x^2}-\frac{1}{y^2-xy}\)

\(=\frac{1}{x\left(y-x\right)}-\frac{1}{y\left(y-x\right)}\)

\(=\frac{y-x}{xy\left(y-x\right)}=\frac{1}{xy}\)

f: \(\frac{x}{x^2-25}-\frac{x-5}{x^2+5x}\)

\(=\frac{x}{\left(x-5\right)\left(x+5\right)}-\frac{x-5}{x\left(x+5\right)}\)

\(=\frac{x^2-\left(x-5\right)}{x\left(x+5\right)\left(x-5\right)}=\frac{\left(x-x+5\right)\left(x+x-5\right)}{x\left(x+5\right)\left(x-5\right)}=\frac{5\left(2x-5\right)}{x\left(x+5\right)\left(x-5\right)}\)

g: \(\frac{2x^3+x^2-x}{x^3-1}-\frac{2x-1}{x-1}\)

\(=\frac{2x^3+x^2-x}{\left(x-1\right)\left(x^2+x+1\right)}-\frac{2x-1}{x-1}\)

\(=\frac{2x^3+x^2-x}{\left(x-1\right)\left(x^2+x+1\right)}-\frac{\left(2x-1\right)\left(x^2+x+1\right)}{\left(x-1\right)\left(x^2+x+1\right)}\)

\(=\frac{2x^3+x^2-x-\left(2x-1\right)\left(x^2+x+1\right)}{\left(x-1\right)\left(x^2+x+1\right)}\)

\(=\frac{2x^3+x^2-x-2x^3-2x^2-2x+x^2+x+1}{\left(x-1\right)\left(x^2+x+1\right)}=\frac{-2x+1}{\left(x-1\right)\left(x^2+x+1\right)}\)

h: \(\frac{x}{x-1}-\frac{2}{x+1}-\frac{2}{x^2-1}\)

\(=\frac{x}{x-1}-\frac{2}{x+1}-\frac{2}{\left(x-1\right)\left(x+1\right)}\)

\(=\frac{x\left(x+1\right)-2\left(x-1\right)-2}{\left(x-1\right)\left(x+1\right)}=\frac{x^2+x-2x+2-2}{\left(x-1\right)\left(x+1\right)}\)

\(=\frac{x^2-x}{\left(x-1\right)\left(x+1\right)}=\frac{x}{x+1}\)

i: \(\frac{8x^2}{4x^3-8x^2}-\frac{3x}{3x^2-12}-\frac{1}{x+2}\)

\(=\frac{8x^2}{4x^2\left(x-2\right)}-\frac{3x}{3\left(x^2-4\right)}-\frac{1}{x+2}\)

\(=\frac{2}{x-2}-\frac{x}{\left(x-2\right)\left(x+2\right)}-\frac{1}{x+2}\)

\(=\frac{2\left(x+2\right)-x-x+2}{\left(x-2\right)\left(x+2\right)}=\frac{2x+4-2x+2}{\left(x-2\right)\left(x+2\right)}=\frac{6}{x^2-4}\)

j: \(\frac{x^3+1}{x^2-9}-\frac{3}{x+3}-x\)

\(=\frac{x^3+1}{\left(x-3\right)\left(x+3\right)}-\frac{3}{x+3}-x\)

\(=\frac{x^3+1-3\left(x-3\right)-x\left(x^2-9\right)}{\left(x-3\right)\left(x+3\right)}=\frac{x^3+1-3x+9-x^3+9x}{\left(x-3\right)\left(x+3\right)}=\frac{6x+10}{\left(x-3\right)\cdot\left(x+3\right)}\)

k: \(\frac{2x}{x^2-1}-\frac{3}{2x+2}+\frac{1}{2-2x}\)

\(=\frac{2x}{\left(x-1\right)\left(x+1\right)}-\frac{3}{2\left(x+1\right)}-\frac{1}{2\left(x-1\right)}\)

\(=\frac{4x-3\left(x-1\right)-x-1}{2\left(x+1\right)\left(x-1\right)}=\frac{3x-1-3x+3}{2\left(x+1\right)\left(x-1\right)}=\frac{2}{2\left(x^2-1\right)}=\frac{1}{x^2-1}\)

l: \(x+\frac{1}{x+1}-1=x-1+\frac{1}{x+1}=\frac{\left(x-1\right)\left(x+1\right)+1}{x+1}\)

\(=\frac{x^2-1+1}{x+1}=\frac{x^2}{x+1}\)

1 tháng 12 2021

Em chụp rộng ra , đề bài thiếu

1 tháng 12 2021

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24 tháng 5 2021

III. 

A. 

1. B

2. C

3. B

4. A

5. D

B. 

1. C

2. B

3. B

4. A

5. C

18 tháng 11 2021

1 b c b a d

2 c b b a c nha

24 tháng 5 2021

1 The meeting was canceled 3 days ago

2 She told me she was watching a film with her sister then

3 I admire the guitarist who is perfroming on the stage

4 Had it not been for Pauline's interest, the project would have been abandoned 

24 tháng 5 2021

IV. 

1. The meeting was canceled 3 days ago.

2. She told me shewas watching a film with her sister then

3. I admire the guitarist who is performing on the stage

4. Had it not been for Pauline's interest, the project was abandoned. (chắc thế)

28 tháng 3 2021

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28 tháng 3 2021

Chụp rõ đề hơn đi bạn.

26 tháng 9 2021

a) \(\dfrac{A}{x-2}=\dfrac{x^2+3x+2}{x^2-4}\)

\(\Leftrightarrow\dfrac{A}{x-2}=\dfrac{\left(x+2\right)\left(x+1\right)}{\left(x-2\right)\left(x+2\right)}\)

\(\Leftrightarrow\dfrac{A}{x-2}=\dfrac{x+1}{x-2}\Leftrightarrow A=x+1\)

b) \(\dfrac{M}{x-1}=\dfrac{x^2+3x+2}{x+1}\)

\(\Leftrightarrow\dfrac{M}{x-1}=\dfrac{\left(x+1\right)\left(x+2\right)}{x+1}\)

\(\Leftrightarrow\dfrac{M}{x-1}=x+2\Leftrightarrow M=\left(x-1\right)\left(x+2\right)=x^2+x-2\)

4 tháng 8 2021

asked how much that computer was

wanted to know if I had the keys

asked Sam why he hadn't come to the party

asked Jane where she was going for her holidays

asked me if I spoke English

asked how old her mother was

asked me whether I was British or American

4 tháng 8 2021

1 Tom asked how much that computer was

2 The officer wanted to know if I had wanted the key

3 Ann asked Sam why he hadn't come to her party

4 He asked Jane where she was going for her holiday

5 He asked me if I spoke E

6 He asked how old her mother was 

7 He asked me whether I was British or American

16 tháng 3

Xét ΔBAC có \(cosB=\frac{BA^2+BC^2-AC^2}{2\cdot BA\cdot BC}\)

=>\(BA^2+BC^2-AC^2=2\cdot BA\cdot BC\cdot cosB\)

=>\(27,11^2+BC^2-20,16^2=2\cdot27,11\cdot BC\cdot cos38\)

=>\(BC^2+328,5265-54,22\cdot BC\cdot cos38=0\)

=>BC≃32,67005129(cm)

Xét ΔABC có \(\frac{BC}{\sin BAC}=\frac{AC}{\sin B}\)

=>\(\sin BAC=BC\cdot\sin B:AC\) ≃0,998

=>\(\hat{BAC}\) ≃86 độ 7p

2 tháng 1 2022

a) x(x + 4) - 3x - 12 = 0

x(x + 4) - 3(x + 4) = 0

(x + 4)(x - 3) = 0

x = -4 hoặc x = 3

b) 2x(x - 4) - x + 4 = 0

2x(x - 4) - (x - 4) = 0

(x - 4)(2x - 1) = 0

x = 4 hoặc x = 1/2

c) 5x(x - 3) - x + 3 = 0

5x(x - 3) - (x - 3) = 0

(x - 3)(5x - 1) = 0

x = 3 hoặc x = 1/5.

2 tháng 1 2022

a) x(x + 4) - 3x - 12 = 0

x(x + 4) - 3(x + 4) = 0

(x + 4)(x - 3) = 0

x = -4 hoặc x = 3

b) 2x(x - 4) - x + 4 = 0

2x(x - 4) - (x - 4) = 0

(x - 4)(2x - 1) = 0

x = 4 hoặc x = 1/2

c) 5x(x - 3) - x + 3 = 0

5x(x - 3) - (x - 3) = 0

(x - 3)(5x - 1) = 0

x = 3 hoặc x = 1/5.