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Đáp án + Giải thích các bước giải:
`1) -3x(x+2)^2 +(x+3)(x-1)(x+1)-(2x-3)^2`
`=-3x(x^2 +4x+4)+(x+3)(x^2 -1)-(4x^2 -12x+9)`
`=-3x^3 -12x^2 -12x+x^3 -x+3x^2 -3-4x^2 +12x-9`
`=-2x^3 - 13x^2 -x-12`
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`2)(x-3)(x+3)(x+2)-(x-1)(x^2 -3)-5x(x+4)^2 -(x-5)^2`
`=(x^2 -9)(x+2)-(x-1)(x^2 -3)-5x(x^2 +8x+16)-(x^2 -10x+25)`
`=(x^2 -9)(x+2)-(x-1)(x^2 -3)-5x(x^2 +8x+16)-(x^2 -10x+25)`
`=-5x^3 -38x^2 -76x-46`
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`3) 2x(x-4)^2 -(x+5)(x-2)(x+2)+2(x+5)^2 -(x-1)^2`
`=2x(x^2 -8x+16)-(x+5)(x^2 -4)+2(x^2 +10x+25)-(x^2 -2x+1)`
`=2x^3 -16x^2 +32x-(x^3 -4x+5x^2 -20)+2x^2 +20x+50-x^2 +2x-1`
`=2x^3 -16x^2 +32x-x^3 +4x-5x^2 +20+2x^2 +20x+50-x^2 +2x-1`
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`4)(x+5)^2 -4x(2x+3)^2 -(2x-1)(x+3)(x-3)`
`=x^2 +10x+25-4x(4x^2 +12x+9)-(2x-1)(x^2 -9)`
`=x^2 +10x+25-16x^3 -48x^2 -36x-2x^3 +18x+x^2 -9`
`=-18x^3 -46x^2 -8x+16`
`#Pô`
Hãy giúp mọi người biết câu trả lời này thế nào?
$1/$ `-3x(x+2)^2 +(x+3)(x-1)(x+1)-(2x-3)^2`
`=-3x(x^2 +4x+4)+(x+3)(x^2 -1)-(4x^2 -12x+9)`
`=-3x^3 -12x^2 -12x+x^3 -x+3x^2 -3-4x^2 +12x-9`
`=-2x^3 - 13x^2 -x-12`.
$2/$ `(x-3)(x+3)(x+2)-(x-1)(x^2 -3)-5x(x+4)^2 -(x-5)^2`
`=(x^2 -9)(x+2)-(x-1)(x^2 -3)-5x(x^2 +8x+16)-(x^2 -10x+25)`
`=x^3 -9x+2x^2 -18-x^3 +x^2 +3x-3-5x^3 -40x^2 -80x-x^2 +10x-25`
`=-5x^3 -38x^2 -76x-46`.
$3/$ `2x(x-4)^2 -(x+5)(x-2)(x+2)+2(x+5)^2 -(x-1)^2`
`=2x(x^2 -8x+16)-(x+5)(x^2 -4)+2(x^2 +10x+25)-(x^2 -2x+1)`
`=2x^3 -16x^2 +32x-(x^3 -4x+5x^2 -20)+2x^2 +20x+50-x^2 +2x-1`
`=2x^3 -16x^2 +32x-x^3 +4x-5x^2 +20+2x^2 +20x+50-x^2 +2x-1`
`=x^3 -20x^2 +58x+69`.
$4/$ `(x+5)^2 -4x(2x+3)^2 -(2x-1)(x+3)(x-3)`
`=x^2 +10x+25-4x(4x^2 +12x+9)-(2x-1)(x^2 -9)`
`=x^2 +10x+25-16x^3 -48x^2 -36x-2x^3 +18x+x^2 -9`
`=-18x^3 -46x^2 -8x+16`.
Hãy giúp mọi người biết câu trả lời này thế nào?
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