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Bereken, herleid en rangschik naar dalende macht (ZRM toegestaan)

1. \((-x^2+2x-3)(-x^2-2x+1)\)
2. \((2x^2+4x-1)(-3x^{6}-5)\)
3. \((-x^2+2x+1)(x^2+5x+3)\)
4. \(5x^2(6x^4-6x-4)\)
5. \((8x^2+5x)(-x+7)\)
6. \((-2x^4+5x^2+3)(-2x^2+4)\)
7. \((20x^2-2)-(-20x^2-3x)\)
8. \(-3x^5(-3x^3-2x^2-3)\)
9. \(6x(19x-8y+13)\)
10. \(7x(6x^2-x+5)\)
11. \(-2x(6x^6+4x^3)\)
12. \((-18x+19)+(16x-19)\)

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Bereken, herleid en rangschik naar dalende macht (ZRM toegestaan)

Verbetersleutel

1. \((-x^2+2x-3)(-x^2-2x+1)\\=x^4+2x^3-x^2-2x^3-4x^2+2x+3x^2+6x-3\\=x^4-2x^2+8x-3\)
2. \((2x^2+4x-1)(-3x^{6}-5)\\=-6x^{8}-10x^2-12x^{7}-20x+3x^6+5\\=-6x^{8}-12x^{7}+3x^6-10x^2-20x+5\)
3. \((-x^2+2x+1)(x^2+5x+3)\\=-x^4-5x^3-3x^2+2x^3+10x^2+6x+x^2+5x+3\\=-x^4-3x^3+8x^2+11x+3\)
4. \(5x^2(6x^4-6x-4)=30x^6-30x^3-20x^2\)
5. \((8x^2+5x)(-x+7)\\=-8x^3+56x^2-5x^2+35x\\=-8x^3+51x^2+35x\)
6. \((-2x^4+5x^2+3)(-2x^2+4)\\=4x^6-8x^4-10x^4+20x^2-6x^2+12\\=4x^6-18x^4+14x^2+12\)
7. \((20x^2-2)-(-20x^2-3x)\\=20x^2-220x^2+3x\\=40x^2+3x-2\)
8. \(-3x^5(-3x^3-2x^2-3)=9x^{8}+6x^{7}+9x^5\)
9. \(6x(19x-8y+13)=114x^2-48xy+78x\)
10. \(7x(6x^2-x+5)=42x^3-7x^2+35x\)
11. \(-2x(6x^6+4x^3)=-12x^7-8x^4\)
12. \((-18x+19)+(16x-19)\\=-18x+19+16x-19\\=-2x\)