Đáp án+Giải thích các bước giải:
`a)` `x(2x^2-3)-x^2(5x+1)+x^2`
`=2x^3-3x-5x^3-x^2+x^2`
`=(2x^3-5x^3)+(x^2-x^2)-3x`
`=-3x^3-3x`
`b)` `3x(x-2)-5x(1-x)-8(x^2-3)`
`=3x^2-6x-5x+5x^2-8x^2+24`
`=(3x^2+5x^2-8x^2)-(6x+5x)+24`
`=-11x+24`
`c)` `(3x^{n-1}-2x^n).4x^2`
`=12x^{2+n-1}-8x^{2+n}`
`=12x^{n+1}-8x^{2+n}`
`d)` `2x^{n}(3x^{n+1}-1)-3x^{n+1}.(2x^n-1)`
`=6x^{n+n+1}-2x^n-6x^{n+1+n}+3x^{n+1}`
`=6x^{2n+1}-2x^n-6x^{2n+1}+3x^{n+1}`
`=(6x^{2n+1}-6x^{2n+1})+3x^{n+1}-2x^n`
`=3x^{n+1}-2x^n`