Đáp án:
d, `1/(3x - 2) - (3x - 6)/(4 - 9x^2)`
`= 1/(3x - 2) + (3x - 6)/[(3x - 2)(3x + 2)]`
`= (3x + 2)/[(3x - 2)(3x + 2)] + (3x - 6)/[(3x - 2)(3x + 2)]`
`= (3x + 2 + 3x - 6)/[(3x - 2)(3x + 2)]`
`= (6x - 4)/[(3x - 2)(3x + 2)]`
`= [2(3x - 2)]/[(3x - 2)(3x + 2)]`
`= 2/(3x + 2)`
e, `(x + 3)/(x^2 - 1) - (x + 1)/(x^2 - x)`
`= (x + 3)/[(x - 1)(x + 1)] - (x + 1)/[x(x- 1)]`
`= [x(x + 3)]/[x(x - 1)(x + 1)] - (x+1)^2/[x(x - 1)(x + 1)]`
`= (x^2 + 3x - x^2 - 2x - 1)/[x(x - 1)(x + 1)]`
`= (x - 1)/[x(x - 1)(x + 1)]`
`= 1/[x(x + 1)]`
f, `3/(2x + 6) - (x-6)/(2x^2+6x)`
`=3/(2x+6) - (x - 6)/[x(2x + 6)]`
`= (3x)/[x(2x + 6)] - (x - 6)/[x(2x + 6)]`
`= (3x - x + 6)/[x(2x + 6)]`
`= (2x + 6)/[x(2x + 6)]`
`= 1/x`
Giải thích các bước giải: