Giải thích các bước giải:
`8, \ x(x^2-1)-(x-1)(x^2+x+1)=-1/2`
`<=> x^3-x-(x^3-1)=-1/2`
`<=> x^3-x-x^3+1=-1/2`
`<=> -x=-3/2`
`<=> x=3/2`
Vậy `x=3/2.`
`9, \ (2x+3)^2-4x(x-2)=0`
`<=> 4x^2+12x+9-4x^2+8x=0`
`<=> 20x=-9`
`<=> x=-9/20`
Vậy `x=-9/20.`
`10, \ 4(x-1)^2-(2x+3)^2=0`
`<=> [2(x-1)]^2-(2x+3)^2=0`
`<=> [2(x-1)-(2x+3)][(2(x-1)+2x+3]=0`
`<=> (2x-2-2x-3)(2x-2+2x+3)=0`
`<=> (-5).(4x+1)=0`
`<=> 4x+1=0`
`<=> x=-1/4`
Vậy `x=-1/4.`