rụt gọn biểu thức (1/căn x – 3 – 1/căn x + 3 ) /3/căn x – 3 14/07/2021 Bởi Remi rụt gọn biểu thức (1/căn x – 3 – 1/căn x + 3 ) /3/căn x – 3
`(1/(√(x – 3)) – 1/(√( x + 3)) ) ÷ 3/(√( x – 3))` `= (√(x + 3) – √(x- 3))/((x – 3)(x+3)) × (√(x-3))/3` `= (√(x + 3) – √(x-3))/(√(x+3)) × 1/3` `= (√(x + 3) – √(x – 3))/(3√(x-3))` Bình luận
`(1/(sqrt(x)-3) – (1/(sqrt(x)+3) ) : 3/(sqrt(x)-3)` ĐKXĐ : `x>= 0 ; x ne 9` `= (sqrt(x)+3-sqrt(x)+3)/((sqrt(x)-3)(sqrt(x)+3)) . (sqrt(x)-3)/3` `= 6/((sqrt(x)-3)(sqrt(x)+3)) . (sqrt(x)-3)/3 ` `= 2/(sqrt(x)+3)` Bình luận
`(1/(√(x – 3)) – 1/(√( x + 3)) ) ÷ 3/(√( x – 3))`
`= (√(x + 3) – √(x- 3))/((x – 3)(x+3)) × (√(x-3))/3`
`= (√(x + 3) – √(x-3))/(√(x+3)) × 1/3`
`= (√(x + 3) – √(x – 3))/(3√(x-3))`
`(1/(sqrt(x)-3) – (1/(sqrt(x)+3) ) : 3/(sqrt(x)-3)`
ĐKXĐ : `x>= 0 ; x ne 9`
`= (sqrt(x)+3-sqrt(x)+3)/((sqrt(x)-3)(sqrt(x)+3)) . (sqrt(x)-3)/3`
`= 6/((sqrt(x)-3)(sqrt(x)+3)) . (sqrt(x)-3)/3 `
`= 2/(sqrt(x)+3)`