Question

1, Thực hiện phép tính:

a, \(\dfrac{1-3x}{2}+\dfrac{x+3}{2}\)

b, \(\dfrac{2\left(x+y\right)\left(x-y\right)}{x}-\dfrac{-2y^2}{x}\)

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

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

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

2, Thực hiện phép tính:

a, \(\dfrac{1}{x}.\dfrac{6x}{y}\)

b, \(\dfrac{2x^2}{y}.3xy^2\)

c, \(\dfrac{15x}{7y^3}.\dfrac{2y^2}{x^2}\)

d, \(\dfrac{2x^2}{x-y}.\dfrac{y}{5x^3}\)

e, \(\dfrac{5x+10}{4x-8}.\dfrac{4-2x}{x+2}\)

f, \(\dfrac{x^2-36}{2x+10}.\dfrac{3}{6-x}\)

Answer 1

2)

a) \(\dfrac{1}{x}.\dfrac{6x}{y}\)

\(=\dfrac{6x}{xy}\)

\(=\dfrac{6}{y}\)

b) \(\dfrac{2x^2}{y}.3xy^2\)

\(=\dfrac{2x^2.3xy^2}{y}\)

\(=\dfrac{6x^3y^2}{y}\)

\(=6x^3y\)

c) \(\dfrac{15x}{7y^3}.\dfrac{2y^2}{x^2}\)

\(=\dfrac{15x.2y^2}{7y^3.x^2}\)

\(=\dfrac{30xy^2}{7x^2y^3}\)

\(=\dfrac{30}{7xy}\)

d) \(\dfrac{2x^2}{x-y}.\dfrac{y}{5x^3}\)

\(=\dfrac{2x^2.y}{\left(x-y\right).5x^3}\)

\(=\dfrac{2y}{5x\left(x-y\right)}\)