Question

a)\(\frac{1-3x}{2}\)-\(\frac{x+3}{2}\) b)\(\frac{2\left(x+y\right)\left(x-y\right)}{x}\)-\(\frac{-2y^2}{x}\)

c)\(\frac{3x+1}{x+y}\)-\(\frac{2x-3}{x+y}\)

d)\(\frac{xy}{2x-y}\)-\(\frac{x^2-1}{y-2x}\)

e)\(\frac{4x-1}{3x^2y}\)-\(\frac{7x-1}{3x^2y}\)

giúp em với

Answer 1

https://i.imgur.com/qz7eYvL.jpg

Answer 2

a.\(\frac{1-3x}{2}-\frac{x+3}{2}=\frac{1-3x-x-3}{2}=\frac{1-4x-3}{2}=\frac{-4x-2}{2}=\frac{-2\left(2x+1\right)}{2}=-2x-1\)

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

c. \(\frac{3x+1}{x+y}-\frac{2x-3}{x+y}=\frac{3x+1-2x+3}{x+y}=\frac{x+4}{x+y}\)

d. \(\frac{xy}{2x-y}-\frac{x^2-1}{y-2x}=\frac{xy}{2x-y}-\frac{1-x^2}{2x-y}=\frac{xy-1+x^2}{2x-y}\)

e. \(\frac{4x-1}{3x^2y}-\frac{7x-1}{3x^2y}=\frac{4x-1-7x+1}{3x^2y}=\frac{-3x}{3x^2y}=\frac{-1}{xy}\)