Question

Thực hiện phép tính phân thức a) 3/2x+6-x-6/2x^2+6x

b)1/xy-x^2-1/y^2-xy

c)1-4x^2/x^2+4x : 2-4x/3x

d)12x/5y^3 . 15y^4/8x^3

e)4x^2/5y^2 : 6x/5y : 2x/3y

f) x^2-4/3x+12 . x+4/2x-4

g) 5x+10/4x-8 . 4-2x/x+2

các bn ưi, giúp mk giải hộ bài này vs, mk đag cần gấp

Answer 1

a: \(=\dfrac{3x-x+6}{x\left(2x+6\right)}=\dfrac{1}{x}\)

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

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

c: \(=\dfrac{\left(1-2x\right)\left(1+2x\right)}{x\left(x+4\right)}\cdot\dfrac{3x}{2\left(1-2x\right)}\)

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

d: \(=\dfrac{12x}{8x^3}\cdot\dfrac{15y^4}{5y^3}=\dfrac{3}{2x^2}\cdot3y=\dfrac{9y}{2x^2}\)

f: \(=\dfrac{\left(x-2\right)\left(x+2\right)}{3\left(x+4\right)}\cdot\dfrac{x+4}{2\left(x-2\right)}=\dfrac{x+2}{6}\)