Question

thực hiện phép tính

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

Answer 1

`[5x+4]/[3x+15]-[x-2]/[x+5]`       `ĐK: x \ne-5`

`=[5x+4]/[3(x+5)]-[x-2]/[x+5]`

`=[5x+4-3(x-2)]/[3(x+5)]`

`=[5x+4-3x+6]/[3(x+5)]`

`=[2x+10]/[3(x+5)]`

`=[2(x+5)]/[3(x+5)]=2/3`