Bài 1:

a) \(x^2-xy+x-y=\left(x^2-xy\right)+\left(x-y\right)=x\left(x-y\right)+\left(x-y\right)=\left(x^2+1\right)\left(x-y\right)\)

b) \(xz+yz-5\left(x+y\right)=\left(xz+yz\right)-5\left(x+y\right)=z\left(x+y\right)-5\left(x+y\right)=\left(x+y\right)\left(z-5\right)\)

c) \(3x^2-3xy-5x+5y=\left(3x^2-3xy\right)-\left(5x-5y\right)=3x\left(x-y\right)-5\left(x-y\right)=\left(x-y\right)\left(3x-5\right)\)

Bài 1: 

a: \(x^2-xy+x-y\)

\(=x\left(x-y\right)+\left(x-y\right)\)

\(=\left(x-y\right)\left(x+1\right)\)

b: \(xz+yz-5\left(x+y\right)\)

\(=z\left(x+y\right)-5\left(x+y\right)\)

\(=\left(x+y\right)\left(z-5\right)\)

c: \(3x^2-3xy-5x+5y\)

\(=3x\left(x-y\right)-5\left(x-y\right)\)

\(=\left(x-y\right)\left(3x-5\right)\)

6)  \(\dfrac{8^6}{256}=\dfrac{\left(2^3\right)^6}{2^8}=\dfrac{2^{18}}{2^8}=2^{10}=1024\)

7) \(\left(\dfrac{1}{2}\right)^{15}.\left(\dfrac{1}{4}\right)^{20}=\left(\dfrac{1}{2}\right)^{15}.\left[\left(\dfrac{1}{2}\right)^2\right]^{20}=\left(\dfrac{1}{2}\right)^{15}.\left(\dfrac{1}{2}\right)^{40}=\left(\dfrac{1}{2}\right)^{55}=\dfrac{1}{2^{55}}\)

8)  \(\left(\dfrac{1}{9}\right)^{25}\div\left(\dfrac{1}{3}\right)^{30}=\left(\dfrac{1}{3}\right)^{50}\div\left(\dfrac{1}{3}\right)^{30}=\left(\dfrac{1}{3}\right)^{20}=\dfrac{1}{3^{20}}\)

9)\(\left(\dfrac{1}{16}\right)^3\div\left(\dfrac{1}{8}\right)^2=\left(\dfrac{1}{2}\right)^{12}\div\left(\dfrac{1}{2}\right)^6=\left(\dfrac{1}{2}\right)^6=\dfrac{1}{64}\)

10)  \(\dfrac{27^2.8^5}{6^2.32^3}=\dfrac{3^6.2^{15}}{3^2.2^2.2^{15}}=\dfrac{3^4}{2^2}=\dfrac{81}{4}\)

Bài 3:

Kẻ Oz//Ax thì Oz//By

Do đó \(\widehat{zOA}=\widehat{OAx}=32^0;\widehat{zOB}=180^0-\widehat{OBy}=58^0\)

\(\Rightarrow\widehat{AOB}=\widehat{zOA}+\widehat{zOB}=32^0+58^0=90^0\)

Vậy OA⊥OB

mik chỉ bt nhiêu đó thui, bn thông cảm

Bài 2:

Ta có:\(2\sqrt{48}< 2\sqrt{49}\) ; 

         \(3\sqrt{27}>3\sqrt{25}\)

mà \(2\sqrt{49}< 3\sqrt{25}\left(14< 15\right)\)

\(\Rightarrow3\sqrt{27}>3\sqrt{25}>2\sqrt{49}>2\sqrt{48}\)

\(\Rightarrow3\sqrt{27}>2\sqrt{48}\)

b)

Ta có:\(\sqrt{50}+\sqrt{2}>\sqrt{49}+\sqrt{1}\) 

        \(\sqrt{50+2}< \sqrt{64}\)

mà \(\sqrt{49}+\sqrt{1}=\sqrt{64}\left(8=8\right)\)

\(\Rightarrow\sqrt{50}+\sqrt{2}>8>\sqrt{50+2}\)

\(\Rightarrow\sqrt{50}+\sqrt{2}>\sqrt{50+2}\)

jimmmmmmmmmmmmmmmmmmmmmmmmmmm

he he he he he he

Bài 1 : 

\(\frac{x}{2}=\frac{y}{3};\frac{y}{4}=\frac{z}{5}\Rightarrow\frac{x}{8}=\frac{y}{12}=\frac{z}{15}\)

Theo tính chất dãy tỉ số bằng nhau 

\(\frac{x}{8}=\frac{y}{12}=\frac{z}{15}=\frac{x+y-z}{8+12-15}=\frac{10}{5}=2\Rightarrow x=16;y=24;z=30\)

bài 2 : 

Đặt \(x=2k;y=5k\Rightarrow xy=10k^2=10\Leftrightarrow k^2=1\Leftrightarrow k=\pm1\)

Với k = 1 thì x = 2 ; y = 5

Với k = - 1 thì x = -2 ; y = -5

b: \(=8+2\cdot3-7\cdot1.3+3\cdot\dfrac{5}{4}=8.65\)

có 1 câu thui ạ ?