Tớ viết nhầm đề bài nma kết quả đúng r á, cậu sửa đề bài giúp tớ nha 

Bài 2

1) \(2y\left(x+2\right)-3x-6\)

\(=2y\left(x+2\right)-3\left(x+2\right)\)

\(=\left(x+2\right)\left(2y-3\right)\)

2) \(3\left(x+4\right)-x^2-4x\)

\(=3\left(x+4\right)-x\left(x+4\right)\)

\(=\left(x+4\right)\left(3-x\right)\)

3) \(2\left(x+5\right)-x^2-5x\)

\(=2\left(x+5\right)-x\left(x+5\right)\)

\(=\left(x+5\right)\left(2-x\right)\)

4) \(x^2+6x-x\left(x+6\right)\)

\(=x\left(x+6\right)-x\left(x+6\right)\)

\(=0\)

5) \(x\left(x+y\right)-5x-5y\)

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

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

6) \(x\left(x-y\right)+2x-2y\)

\(=x\left(x-y\right)+2\left(x-y\right)\)

\(=\left(x-y\right)\left(x+2\right)\)

7) \(x^2-xy+x-y\)

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

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

8) \(\left(x+1\right)y-2x-2\)

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

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

9) \(9x^3-9x^2y-4x+4y\)

\(=9x^2\left(x-y\right)-4\left(x-y\right)\)

\(=\left(x-y\right)\left(9x^2-4\right)\)

Bài 1

1) \(5\left(x-y\right)-y\left(x-y\right)\)

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

2) \(x\left(y+1\right)+8\left(y+1\right)\)

\(=\left(y+1\right)\left(x+8\right)\)

3) \(3x\left(x-2\right)+5\left(2-x\right)\)

\(=3x\left(x-2\right)-5\left(x-2\right)\)

\(=\left(x-2\right)\left(3x-5\right)\)

4) \(7x\left(x-y\right)-\left(y-x\right)\)

\(=7x\left(x-y\right)+\left(x-y\right)\)

\(=\left(x-y\right)\left(7x+1\right)\)

5) \(5x\left(x-1\right)-15x\left(1-x\right)\)

\(=5x\left(x-1\right)+15x\left(x-1\right)\)

\(=\left(x-1\right)\left(5x+15x\right)\)

\(=\left(x-1\right)5x\left(x+3\right)\)

6) \(10x\left(x-y\right)-6xy\left(y-x\right)\)

\(=10x\left(x-y\right)+6xy\left(x-y\right)\)

\(=\left(x-y\right)\left(10x+6xy\right)\)

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

Bạn muốn phân tích câu thơ đó hay sao ạ?

Dòng cuối thêm dấu = nha

d) \(\dfrac{3\sqrt{x}+1}{x+2\sqrt{x}-3}-\dfrac{2}{\sqrt{x}+3}\left(x\ge0;x\ne1\right)\)

\(=\dfrac{3\sqrt{x}+1}{x+3\sqrt{x}-\sqrt{x}-3}-\dfrac{2}{\sqrt{x}+3}\)

\(=\dfrac{3\sqrt{x}+1}{\sqrt{x}.\left(\sqrt{x}+3\right)-\left(\sqrt{x}+3\right)}-\dfrac{2}{\sqrt{x}+3}\)

\(=\dfrac{3\sqrt{x}+1}{\left(\sqrt{x}-1\right).\left(\sqrt{x}+3\right)}-\dfrac{2.\left(\sqrt{x}-1\right)}{\left(\sqrt{x}-1\right).\left(\sqrt{x}+3\right)}\)

\(=\dfrac{3\sqrt{x}+1-2\sqrt{x}+2}{\left(\sqrt{x}-1\right).\left(\sqrt{x}+3\right)}\)

\(=\dfrac{\sqrt{x}+3}{\left(\sqrt{x}-1\right).\left(\sqrt{x}+3\right)}\)

\(=\dfrac{1}{\sqrt{x}-1}\)

c) \(\left(\dfrac{15-\sqrt{x}}{x-25}+\dfrac{2}{\sqrt{x}+5}\right):\dfrac{\sqrt{x}+1}{\sqrt{x}-5}\left(x\ge0;x\ne1\right)\)

\(=\left(\dfrac{15-\sqrt{x}}{\left(\sqrt{x}-5\right).\left(\sqrt{x}+5\right)}+\dfrac{2.\left(\sqrt{x}-5\right)}{\left(\sqrt{x}-5\right).\left(\sqrt{x}+5\right)}\right):\dfrac{\sqrt{x}+1}{\sqrt{x}-5}\)

\(=\dfrac{15-\sqrt{x}+2\sqrt{x}-10}{\left(\sqrt{x}-5\right).\left(\sqrt{x}+5\right)}:\dfrac{\sqrt{x}+1}{\sqrt{x}-5}\)

\(=\dfrac{\sqrt{x}+5}{\left(\sqrt{x}-5\right).\left(\sqrt{x}+5\right)}.\dfrac{\sqrt{x}-5}{\sqrt{x}+1}\)

\(\dfrac{1}{\sqrt{x}+1}\)

b) \(\dfrac{3}{\sqrt{x}-1}-\dfrac{\sqrt{x}+5}{x-1}\left(x\ge0;x\ne1\right)\)

\(=\dfrac{3.\left(\sqrt{x}+1\right)}{\left(\sqrt{x}-1\right).\left(\sqrt{x}+1\right)}-\dfrac{\sqrt{x}+5}{\left(\sqrt{x}-1\right).\left(\sqrt{x}+1\right)}\)

\(=\dfrac{3\sqrt{x}+3-\sqrt{x}-5}{\left(\sqrt{x}-1\right).\left(\sqrt{x}+1\right)}\)

\(=\dfrac{2\sqrt{x}-2}{\left(\sqrt{x}-1\right).\left(\sqrt{x}+1\right)}\)

\(=\dfrac{2.\left(\sqrt{x}-1\right)}{\left(\sqrt{x}-1\right).\left(\sqrt{x}+1\right)}\)

\(=\dfrac{2}{\sqrt{x}+1}\)

a) \(\dfrac{\sqrt{x}}{\sqrt{x}+3}+\dfrac{2\sqrt{x}}{\sqrt{x}-3}-\dfrac{3x+9}{x-9}\left(x\ge0;x\ne0\right)\)

\(=\dfrac{\sqrt{x}.\left(\sqrt{x}-3\right)}{\left(\sqrt{x}+3\right).\left(\sqrt{x-3}\right)}+\dfrac{2\sqrt{x}.\left(\sqrt{x}+3\right)}{\left(\sqrt{x}-3\right).\left(\sqrt{x}+3\right)}-\dfrac{3x+9}{\left(\sqrt{x}-3\right).\left(\sqrt{x+3}\right)}\)

\(=\dfrac{x-3\sqrt{x}+2x+6\sqrt{x}-3x-9}{\left(\sqrt{x}+3\right).\left(\sqrt{x-3}\right)}\)

\(=\dfrac{3\sqrt{x}-9}{\left(\sqrt{x}+3\right).\left(\sqrt{x}-3\right)}\)

\(=\dfrac{3.\left(\sqrt{x}-3\right)}{\left(\sqrt{x}+3\right).\left(\sqrt{x}-3\right)}\)

\(=\dfrac{3}{\sqrt{x}+3}\)

\(\sqrt{2}.\sqrt{4-\sqrt{15}}-\dfrac{2}{\sqrt{5}+\sqrt{3}}\)

\(=\sqrt{8-2\sqrt{15}}-\dfrac{2.\left(\sqrt{5}+\sqrt{3}\right)}{5-3}\)

\(=\sqrt{3-2\sqrt{15}+5}-\dfrac{2.\left(\sqrt{5}+\sqrt{3}\right)}{2}\)

\(=\sqrt{\left(\sqrt{3}-\sqrt{5}\right)}^2-\sqrt{5}-\sqrt{3}\)

\(=\left|\sqrt{3}-\sqrt{5}\right|-\sqrt{5}-\sqrt{3}\)

\(=-\sqrt{5}+\sqrt{3}-\sqrt{5}-\sqrt{3}\)

\(=-2\sqrt{5}\)