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`3x(2x^2-5x+4)`
`=3x*2x^2-3x*5x+3x*4`
`=6x^3-15x^2+12x`
--------------------
`-2x^2(x^3-3x+7)`
`=-2x^2*x^3-2x^2*(-3x)-2x^2*7`
`=-2x^5+6x^3-14x^2`
--------------------
`(x+2)(x-5)`
`=x(x-5)+2(x-5)`
`=x^2-5x+2x-10`
`=x^2-3x-10`
--------------------
`(3x-1)(2x+3)`
`=3x(2x+3)-(2x+3)`
`=6x^2+9x-2x-3`
`=6x^2+7x-3`
--------------------
`(x-3)(x^2+2x-1)`
`=x(x^2+2x-1)-3(x^2+2x-1)`
`=x^3+2x^2-x-3x^2-6x+3`
`=x^3-x^2-7x+3`
--------------------
`2x^2-x+4)(3x-2)`
`=3x(2x^2-x+4)-2(2x^2-x+4)`
`=6x^3-3x^2+12x-4x^2+2x-8`
`=6x^3-7x^2+14x-8`
--------------------
`(2x-3)(x-4)+(2x+3)(5-x)`
`=(2x^2-8x-3x+12)+(10x-2x^2+15-3x)`
`=(2x^2-11x+12)+(-2x^2+7x+15)`
`=2x^2-11x+12-2x^2+7x+15`
`=-4x+27`
--------------------
`(2x-3)(3x-4)-(2x+3)(3x-2)`
`=(6x^2-8x-9x+12)-(6x^2-4x+9x-6)`
`=(6x^2-17x+12)-(6x^2+5x-6)`
`=6x^2-17x+12-6x^2-5x+6`
`=-22x+18`
--------------------
`(-2x-3)(3x-4)-(-2x+3)(3x-2)`
`=-(2x+3)(3x-4)+(2x-3)(3x-2)`
`=(2x-3)(3x-2)-(2x+3)(3x-4)`
`=(6x^2-4x-9x+6)-(6x^2-8x+9x-12)`
`=6x^2-13x+6-6x^2-x+12`
`=-14x+18`
--------------------
`(x-1)(x-2)(x-3)`
`=(x^2-2x-x+2)(x-3)`
`=(x^2-3x+2)(x-3)`
`=x(x^2-3x+2)-3(x^2-3x+2)`
`=x^3-3x^2+2x-3x^2+9x-6`
`=x^3-6x^2+11x-6`
Hãy giúp mọi người biết câu trả lời này thế nào?
Đáp án:
Giải thích các bước giải:
`3x(2x^2 -5x+4)`
`=6x^3 - 15x^2 + 12x`
``
`-2x^2(x^3 -3x+7)`
`=-2x^5 + 6x^3 - 14x^2`
``
`(x+2)(x-5)`
`=x^2 - 5x +2x -10`
`=x^2 -3x-10`
``
`(3x-1)(2x+3)`
`=6x^2 + 9x -2x -3`
`=6x^2 - 7x -3`
``
`(x-3)(x^2+2x-1)`
`=x^3 + 2x^2 -x -3x^2 - 6x +3`
`=x^3 - x^2 - 7x +3`
``
`(2x^2 -x+4)(3x-2)`
`=6x^3 - 4x^2 - 3x^2 + 2x + 12x - 8`
`=6x^3 - 7x^2 +14x -8`
``
`(2x-3)(x-4) + (2x+3)(5-x)`
`=2x^2 - 8x -3x +12 + 10x - 2x^2 + 15 - 3x`
`=-4x + 27`
``
`(2x-3)(3x-4) -(2x+3)(3x-2)`
`=6x^2 - 17x + 12 - 6x^2 -5x + 6`
`=-22x + 18`
``
`(-2x-3)(3x-4) - (-2x+3)(3x-2)`
`=-6x^2 -x + 12 + 6x^2 -13x +6`
`=-14x + 18`
``
`(x-1)(x-2)(x-3)`
`=(x^2 -3x +2)(x-3)`
`=x^4 - 3x^2 - 3x^2 + 9x +2x-6`
`=x^4 - 6x^2 + 11x-6`
Hãy giúp mọi người biết câu trả lời này thế nào?
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