\(a.C_3H_8+5O_2\underrightarrow{^{to}}3CO_2+4H_2O\)

Đó anh viết PT cho em , em tự tính nha, đề không cho số liệu mà.

\(a.267x46+267x54\)                  \(b.369x25+369x74+369\)

\(=267x\left(46+54\right)\)                        \(=369x\left(25+74+1\right)\)

\(=267x100=26700\)                     \(=369x100=36900\)

\(c.20x678x5\)                                \(d.25x8x125x4\)

\(=678x\left(20x5\right)\)                             \(=\left(25x4\right)x\left(125x8\right)\)

\(=678x100=67800\)                     \(=100x1000=100000\)

a,26700

b,?????

c,67800

d,10000

1, Với x khác 0 ; x khác 1 

\(P=\dfrac{2x-5-\left(x+5\right)\left(x-1\right)+2x^2+5x}{x\left(x-1\right)}\)

\(=\dfrac{2x-5-x^2-4x+5+2x^2+5x}{x\left(x-1\right)}=\dfrac{x^2+3x}{x\left(x-1\right)}=\dfrac{x+3}{x-1}\)

2, Ta có \(x^2=1\Leftrightarrow\left[{}\begin{matrix}x=-1\left(tm\right)\\x=1\left(ktm\right)\end{matrix}\right.\)

Thay vào ta được \(\dfrac{-1+3}{-1-1}=\dfrac{2}{-2}=-1\)

3, \(\dfrac{x+3}{x-1}-1< 0\Leftrightarrow\dfrac{x+3-x+1}{x-1}< 0\Rightarrow x-1< 0\Leftrightarrow x< 1\)

Kết hợp đk vậy x < 1 ; x khác 0 

1. A

2. C

3. A

4. A và B

5. A và B

5C

4B

1C

2C

3D

a: Khi m=2 thì (1) se là x^2-2x-3=0

=>x=3 hoặc x=-1

b: Vì a*c<0 nên (1) luôn có hai nghiệm phân biệt

a: \(\frac{5x-5}{\left(x+1\right)^2}\cdot\frac{3+3x}{20-20x}\)

\(=\frac{5\left(x-1\right)}{\left(x+1\right)^2}\cdot\frac{3\left(x+1\right)}{-20\left(x-1\right)}\)

\(=\frac{5}{-20}\cdot\frac{3}{x+1}=\frac{-1}{4}\cdot\frac{3}{x+1}=\frac{-3}{4x+4}\)

b: \(\frac{x+4}{5x-25}\cdot\frac{x-5}{x^2+8x+16}\)

\(=\frac{x+4}{5\left(x-5\right)}\cdot\frac{x-5}{\left(x+4\right)^2}\)

\(=\frac{1}{5\left(x+4\right)}\)

c: \(\frac{x^2+xy}{5x^2-5y^2}\cdot\frac{3x^3-3y^3}{x^2-xy}\)

\(=\frac{x\left(x+y\right)}{5\left(x^2-y^2\right)}\cdot\frac{3\left(x^3-y^3\right)}{x\left(x-y\right)}\)

\(=\frac{x+y}{x-y}\cdot\frac{3\left(x-y\right)\left(x^2+xy+y^2\right)}{5\left(x-y\right)\left(x+y\right)}=\frac{3\left(x^2+xy+y^2\right)}{5\left(x-y\right)}\)

d: \(\frac{x^2y^2-4y^2}{4xy}\cdot\frac{x^2y}{2xy-x^2y}\)

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

\(=-\frac{y}{4}\cdot\left(x+2\right)=\frac{-y\left(x+2\right)}{4}\)

e: \(\frac{2x^3-2y^3}{3x+3y}\cdot\frac{15x^2-15y^2}{x^2+xy+y^2}\)

\(=\frac{2\left(x^3-y^3\right)}{3\left(x+y\right)}\cdot\frac{15\left(x^2-y^2\right)}{x^2+xy+y^2}\)

\(=\frac{30}{3}\cdot\frac{\left(x-y\right)\left(x^2+xy+y^2\right)\cdot\left(x-y\right)\left(x+y\right)}{\left(x+y\right)\left(x^2+xy+y^2\right)}=10\left(x-y\right)^2\)

f: \(\frac{x^4-y^4}{x^2-2xy+y^2}\cdot\frac{x-y}{xy+x^2}\)

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

\(=\frac{x^2+y^2}{x}\)