Question

Hãy rút gọn các đa thức sau:

1. x bình - x - xy + y / xy + y - x - y bình

2. x bình - 4x + 4 / x bình + 3x - 10

3. x bình - 4xy + 4y bình / xy - 2y bình

4. x bình - 3x / x lập phương - 9x

5. x bình - xy / 3x bình - 3y bình

Các bác giúp e vs ak, hứa sẽ tick, e cảm ơn !!!!!!!!!!!!!!!!!!!!!!!

Answer 1

 

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

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

3: \(=\dfrac{\left(x-2y\right)^2}{y\left(x-2y\right)}=\dfrac{x-2y}{y}\)

4: \(=\dfrac{x\left(x-3\right)}{x\left(x-3\right)\left(x+3\right)}=\dfrac{1}{x+3}\)

5: \(=\dfrac{x\left(x-y\right)}{3\left(x-y\right)\left(x+y\right)}=\dfrac{x}{3\left(x+y\right)}\)